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Finding the Fourth Proportional to 8,248.57, 11,382.12 and 4,711.11

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Solution

The fourth proportional to 8,248.57, 11,382.12 and 4,711.11 is: 6,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.57 : 11,382.12 = 4,711.11 : x
  2. Step 2: Convert to fraction form
    8,248.57/11,382.12 = 4,711.11/x
  3. Step 3: Cross multiply
    8,248.57x = 11,382.12 × 4,711.11
  4. Step 4: Simplify right side
    8,248.57x = 53,622,419.35
  5. Step 5: Solve for x
    x = 53,622,419.35/8,248.57
  6. Step 6: Final answer
    x = 6,500.81

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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.