We will assume that the scale model of the caboose is 17, and its approximately 30 feet long, and we will find the length for a 25 scale model.
For doing so, we will take the following proportion:
[tex]\frac{17}{30}=\frac{25}{x}[/tex]And we will use the fundamental property of proportions, for multiplying mediums and extremes:
[tex]\begin{gathered} 17x=25\cdot30 \\ 17x=750 \\ x=\frac{750}{17}=44.116 \end{gathered}[/tex]This means that under our assumptions, the 25 scale model caboose will have a size of 44.116 feet long.
