Find the scale factor of each problem below. $$ \begin{array}{lll} ext { 12. } 9 ext { inches: } 72 ext { inches } & ext { 13. } 5 \mathrm{~cm} ext { to } 145 \mathrm{~cm} & 14.2 \mathrm{ft:} 27 \mathrm{ft}\end{array} $$

Question

Find the scale factor of each problem below. $$ \begin{array}{lll}	ext { 12. } 9 	ext { inches: } 72 	ext { inches } & 	ext { 13. } 5 \mathrm{~cm} 	ext { to } 145 \mathrm{~cm} & 14.2 \mathrm{ft:} 27 \mathrm{ft}\end{array} $$

UpStudy AI · Accepted Answer

To find the **scale factor** for each pair of measurements, you divide the larger measurement by the smaller one. The scale factor indicates how much larger (or smaller) one measurement is compared to the other.

### Problem 12
**Given:** 9 inches : 72 inches

**Scale Factor Calculation:**
$$
\text{Scale Factor} = \frac{72}{9} = 8
$$

**Scale Factor:** **8**

---

### Problem 13
**Given:** 5 cm : 145 cm

**Scale Factor Calculation:**
$$
\text{Scale Factor} = \frac{145}{5} = 29
$$

**Scale Factor:** **29**

---

### Problem 14
**Given:** 2 ft : 27 ft

**Scale Factor Calculation:**
$$
\text{Scale Factor} = \frac{27}{2} = 13.5
$$

**Scale Factor:** **13.5**

---

**Summary of Scale Factors:**
- **Problem 12:** 8
- **Problem 13:** 29
- **Problem 14:** 13.5
- **Problem 12:** 8 - **Problem 13:** 29 - **Problem 14:** 13.5

Find the scale factor of each problem below.

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