The depth of the Little Canyon is 3/4 * 6,000 feet = <<3/4*6000=4500>>4500 feet.
The difference in elevation at the bottom of the Little Canyon compared to the Grand Canyon is 6,000 feet - 4,500 feet = <<6000-4500=1500>>1,500 feet. Answer: \boxed{1500}.
The Grand Canyon has a depth of 6,000 feet. The Little Canyon is 3/4 as deep. What is the difference in elevation at the bottom of the Little Canyon compared to the Grand Canyon?
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