Ellen is building a scale model of the space shuttle. A space shuttle is approximately $122$ feet long and has a wingspan of $78$ feet.

1. How many inches long is the space shuttle?

   Hint (a):

   Recall that $12$ inches is equivalent to $1$ foot.

   More help (a):

   $\frac{\text{1 ft}}{\text{12 inches}} \left( \frac{?}{?} \right) = \frac{\text{122 ft}}{x\text{ inches}}$

   Answer (a):

   $1464$ inches

2. If Ellen builds her model so that $1$ cm on the model represents $10$ inches on the space shuttle, how many centimeters long will her model be?

   Hint (b):

   Try using the same method presented in (a).

   More help (b):

   $\frac{\text{1 cm}}{\text{10 inches}} \left( \frac{?}{?} \right) = \frac{\text{x cm}}{\text{1464 inches}}$

3. What will her model's wingspan be (in centimeters)?

   Hint (c):

   Begin by finding the length of the wingspan in inches, as presented in (a).
   Then find the length the model needs to be in centimeters, as in (b).

   Answer (c):

   $93.6$ cm

4. Remember that $1$ inch is approximately equal to $2.54$ cm. How many inches long will her model be?

   Hint (d):

   $\frac{\text{1 inch}}{\text{2.54 cm}} \left( \frac{?}{?} \right) = \frac{x\text{ inches}}{146.4}$