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The scale on a map shows 500 feet for every 1/4 inch. If two cities are 6 inches apart on the map, what is the actual distance they are apart?

A 12,000 feet

The proportion 500ft/(1/4in) =x ft/6in can be used to find the actual distance. Cross multiply. 500x 6=(1/4)x and x = 3,000 × 4 = 12,000 feet.