# The scale of a road map indicates that 4 cm is equal to 30 km. How do you calculate the distance between two cities if the road between them is 10 cm long?

The distance between two cities is

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To calculate the distance between the two cities if the road between them is 10 cm long on the map, you would use the scale provided. Since 4 cm on the map represents 30 km in reality, you can set up a proportion to find the actual distance:

4 cm on the map is to 30 km in reality as 10 cm on the map is to x km in reality.

Using this proportion, you can solve for x:

(4 cm / 30 km) = (10 cm / x km)

Cross-multiplying:

4 * x = 30 * 10

Solving for x:

x = (30 * 10) / 4

x = 300 / 4

x = 75 km

So, the actual distance between the two cities is 75 km.

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