Using proportions, it is found that the ratios are given as follows:
a) 9:196.
b) 27:2744.
c) 3:14.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale factor is of 3:14, hence:
- For the area, the ratio is squared, hence: [tex]\left(\frac{3}{14}\right)^2 = \frac{9}{196}[/tex]
- For the volume, the ratio is cubed, hence: [tex]\left(\frac{3}{14}\right)^3 = \frac{27}{2744}[/tex]
- For the width, the ratio is kept, hence it is of 3:14.
More can be learned about proportions at https://brainly.com/question/24372153
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