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):

   $1$ foot = $12$ inches

2. Ellen plans to build her model so that $1$ cm on the model represents $10$ inches on the space shuttle. Write a proportion to show this relationship for the length of her model. Find how long will her model be (in centimeters)?

   Hint (b):

   Multiply your answer from part (a) by this ratio:
   $\frac{1\text{ cm}}{10\text{ inches}}$

   Answer (b):

   $146.4$cm

3. Write and solve a proportion to find her model’s wingspan (in centimeters)?

   Hint (c):

   Follow the same process as in parts (a) and (b): convert the space shuttle's wingspan from feet to inches and then use the scale factor to find the model's wingspan in centimeters.

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

   Hint (d):

   Multiply your answer from part (b) by this ratio: $\frac{1\ \text{inch}}{2.54\ \text{cm}}$.