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Finding the Fourth Proportional to 8,399.20, 12,540.20 and 7,569.76

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Solution

The fourth proportional to 8,399.20, 12,540.20 and 7,569.76 is: 11,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.20 : 12,540.20 = 7,569.76 : x
  2. Step 2: Convert to fraction form
    8,399.20/12,540.20 = 7,569.76/x
  3. Step 3: Cross multiply
    8,399.20x = 12,540.20 × 7,569.76
  4. Step 4: Simplify right side
    8,399.20x = 94,926,304.35
  5. Step 5: Solve for x
    x = 94,926,304.35/8,399.20
  6. Step 6: Final answer
    x = 11,301.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.