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Finding the Fourth Proportional to 8,711.68, 12,022.13 and 4,732.80

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Solution

The fourth proportional to 8,711.68, 12,022.13 and 4,732.80 is: 6,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.68 : 12,022.13 = 4,732.80 : x
  2. Step 2: Convert to fraction form
    8,711.68/12,022.13 = 4,732.80/x
  3. Step 3: Cross multiply
    8,711.68x = 12,022.13 × 4,732.80
  4. Step 4: Simplify right side
    8,711.68x = 56,898,276.75
  5. Step 5: Solve for x
    x = 56,898,276.75/8,711.68
  6. Step 6: Final answer
    x = 6,531.26

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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.