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Finding the Fourth Proportional to 12,572.16, 17,348.88 and 7,268.64

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Solution

The fourth proportional to 12,572.16, 17,348.88 and 7,268.64 is: 10,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.16 : 17,348.88 = 7,268.64 : x
  2. Step 2: Convert to fraction form
    12,572.16/17,348.88 = 7,268.64/x
  3. Step 3: Cross multiply
    12,572.16x = 17,348.88 × 7,268.64
  4. Step 4: Simplify right side
    12,572.16x = 126,102,763.12
  5. Step 5: Solve for x
    x = 126,102,763.12/12,572.16
  6. Step 6: Final answer
    x = 10,030.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.