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Finding the Fourth Proportional to 12,414.80, 18,620.92 and 5,023.12

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Solution

The fourth proportional to 12,414.80, 18,620.92 and 5,023.12 is: 7,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.80 : 18,620.92 = 5,023.12 : x
  2. Step 2: Convert to fraction form
    12,414.80/18,620.92 = 5,023.12/x
  3. Step 3: Cross multiply
    12,414.80x = 18,620.92 × 5,023.12
  4. Step 4: Simplify right side
    12,414.80x = 93,535,115.67
  5. Step 5: Solve for x
    x = 93,535,115.67/12,414.80
  6. Step 6: Final answer
    x = 7,534.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.