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Finding the Fourth Proportional to 8,229.76, 12,344.88 and 3,231.92

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Solution

The fourth proportional to 8,229.76, 12,344.88 and 3,231.92 is: 4,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.76 : 12,344.88 = 3,231.92 : x
  2. Step 2: Convert to fraction form
    8,229.76/12,344.88 = 3,231.92/x
  3. Step 3: Cross multiply
    8,229.76x = 12,344.88 × 3,231.92
  4. Step 4: Simplify right side
    8,229.76x = 39,897,664.57
  5. Step 5: Solve for x
    x = 39,897,664.57/8,229.76
  6. Step 6: Final answer
    x = 4,847.97

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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.