To enlarge a 4x6-size photo to a standard size like 5x7, 8x10, or 11x14, you could first increase its size and then crop the extra length. For example, to enlarge from a 4x6 to an 8x10, you would first enlarge the photo by a scale factor of 2 to get an 8x12 photo, and then crop that photo 2 inches in length to produce an 8x10. Find the size you would enlarge each standard sized photo before cropping. Fill in the table by comparing the short side of each photo length to the short side of a 4x6 photo (that is, 4) to find the scale factor for each enlargement size. Then use the scale factor to find the length of the long side before the photo is cropped.
To find the scale factor for each enlargement size, we can divide the short side of each photo length by the short side of a 4x6 photo (4).
For a 4x6 to 5x7 enlargement:
Short side scale factor: 5 / 4 = 1.25
Long side scale factor: 6 * 1.25 = 7.5
For a 4x6 to 8x10 enlargement:
Short side scale factor: 8 / 4 = 2
Long side scale factor: 6 * 2 = 12
For a 4x6 to 11x14 enlargement:
Short side scale factor: 11 / 4 ≈ 2.75
Long side scale factor: 6 * 2.75 = 16.5
The table can be filled in as follows:
| Enlargement Size | Short Side Scale Factor | Long Side Before Cropping |
|------------------|------------------------|--------------------------|
| 5x7 | 1.25 | 7.5 |
| 8x10 | 2 | 12 |
| 11x14 | 2.75 | 16.5 |