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Finding the Fourth Proportional to 6,484.52, 9,721.17 and 5,503.74

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Solution

The fourth proportional to 6,484.52, 9,721.17 and 5,503.74 is: 8,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.52 : 9,721.17 = 5,503.74 : x
  2. Step 2: Convert to fraction form
    6,484.52/9,721.17 = 5,503.74/x
  3. Step 3: Cross multiply
    6,484.52x = 9,721.17 × 5,503.74
  4. Step 4: Simplify right side
    6,484.52x = 53,502,792.18
  5. Step 5: Solve for x
    x = 53,502,792.18/6,484.52
  6. Step 6: Final answer
    x = 8,250.85

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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.