Answer
[tex]6\frac{1}{3}\text{ }[/tex]
Explanation
The given scale factor of Abraham Lincoln is:
[tex]1\text{ inch }=\frac{4}{9}\text{ f}eet[/tex]
The height of Lincoln on the poster is:
[tex]14\frac{1}{4}\text{ inches}[/tex]
What to find:
Lincoln's actual height in feet.
Let Lincoln's actual height in feet be represented as x:
[tex]\begin{gathered} \text{Since 1 inch }=\frac{4}{9}\text{ f}eet \\ \text{then }14\frac{1}{4}\text{ inches }=x\text{ f}eet \end{gathered}[/tex]
To get the value of x, cross multiply:
[tex]\begin{gathered} x\times1=14\frac{1}{4}\times\frac{4}{9} \\ x=\frac{57}{4}\times\frac{4}{9} \\ x=\frac{57}{9} \\ x=\frac{19}{3} \\ x=6\frac{1}{3}\text{ fe}et \end{gathered}[/tex]
