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Finding the Fourth Proportional to 6,626.43, 9,934.65 and 5,712.75

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Solution

The fourth proportional to 6,626.43, 9,934.65 and 5,712.75 is: 8,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.43 : 9,934.65 = 5,712.75 : x
  2. Step 2: Convert to fraction form
    6,626.43/9,934.65 = 5,712.75/x
  3. Step 3: Cross multiply
    6,626.43x = 9,934.65 × 5,712.75
  4. Step 4: Simplify right side
    6,626.43x = 56,754,171.79
  5. Step 5: Solve for x
    x = 56,754,171.79/6,626.43
  6. Step 6: Final answer
    x = 8,564.82

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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.