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The scale on a map is 4 cm:200 km. What distance is represented by a 6.2 cm segment on the map?

Question

The scale on a map is 4 cm:200 km. What distance is represented by a 6.2 cm segment on the map?

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Solution

Step 1: Understand the scale. The scale of the map is 4 cm:200 km. This means that 4 cm on the map represents 200 km in real life.

Step 2: Set up a proportion to find the real distance. The proportion is (4 cm / 200 km) = (6.2 cm / X km), where X is the real distance we want to find.

Step 3: Solve the proportion for X. Cross-multiply to get 4 cm * X km = 200 km * 6.2 cm.

Step 4: Divide both sides by 4 cm to solve for X. X = (200 km * 6.2 cm) / 4 cm.

Step 5: Calculate the value of X. X = 310 km.

So, a 6.2 cm segment on the map represents a distance of 310 km in real life.

This problem has been solved

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