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If the Vikings move to Los Angeles the NFL will have a very simple way to realign the divisions.
The NFC North and NFC West would simply trade the Minnesota Vikings for the St. Louis Rams. The new NFC West would consist of the Seattle Seahawks, San Francisco 49ers, Arizona Cardinals and the Los Angeles Vikings. The Chicago Bears, Detroit Lions, Green Bay Packers and St. Louis Rams would round out the new NFC North.
The only team that would loose a significant rivalry is the Vikings. They would no longer have their border battle with Green Bay twice a year. With Brett Favre out of the picture that rivalry looses much of the appeal it had over the last two years anyway. The premier rivalry in the NFC North has always been Bears vs Packers and that will not change.
The Vikings would be able to foster a new, in-state, rivalry with the San Francisco 49ers. This matchup could become as heated as the San Diego Chargers vs Oakland Raiders over time.
There is also some bad blood between the Vikings and Seahawks. If you recall, in 2006 Steve Hutchinson, after receiving the transition tag from Seattle, signed a contract to play for Minnesota containing an infamous "poison pill" guaranteeing his 49 million dollar contract if the Seahawks matched the offer. In retaliation the Seahawks offered a similar contract for Vikings wide receiver Nate Burleson that same offseason.
The Rams would no longer be the strongest team in their division entering a very competitive NFC North. Their travel schedule would become significantly easier as all three new division rivals are in the same time zone.
Sam Bradford would round out the NFC North as the most talented division in terms of young quarterbacks. Jay Cutler, Aaron Rodgers, Matt Stafford and Bradford would be very entertaining to watch for the next 5-10 years. It would be great for the NFL to have four marquee quarterbacks facing each other twice a year.