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Finding the Fourth Proportional to 9,229.68, 13,854.24 and 9,020.70

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Solution

The fourth proportional to 9,229.68, 13,854.24 and 9,020.70 is: 13,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.68 : 13,854.24 = 9,020.70 : x
  2. Step 2: Convert to fraction form
    9,229.68/13,854.24 = 9,020.70/x
  3. Step 3: Cross multiply
    9,229.68x = 13,854.24 × 9,020.70
  4. Step 4: Simplify right side
    9,229.68x = 124,974,942.77
  5. Step 5: Solve for x
    x = 124,974,942.77/9,229.68
  6. Step 6: Final answer
    x = 13,540.55

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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.