Construct a triangle similar to given \( \triangle A B C \) with \(...

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Construct a triangle similar to given \( \triangle A B C \) with \( A B=4 \mathrm{~cm}, B C=6 \mathrm{~cm} \) and \( C A=7.5 \mathrm{~cm} \) such that each of its sides is equal to \( \frac{5}{3} \) times of the corresponding sides of \( \triangle A B C \). Justify your construction.
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