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In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

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Detailed Solution

Let the length of model ship be x.

Length of actual ship (in m)	12	28
Length of model ship (in cm)	9	x

Here length of mast and actual length of ship are in direct proportion.

So, $\frac{12}{9} = \frac{28}{x} .$

$\Rightarrow x = \frac{28 \times 9}{12} = 21 .$

Hence, the length of the model ship is 21 cm.

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