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Finding the Fourth Proportional to 6,654.88, 9,982.17 and 2,706.13

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Solution

The fourth proportional to 6,654.88, 9,982.17 and 2,706.13 is: 4,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.88 : 9,982.17 = 2,706.13 : x
  2. Step 2: Convert to fraction form
    6,654.88/9,982.17 = 2,706.13/x
  3. Step 3: Cross multiply
    6,654.88x = 9,982.17 × 2,706.13
  4. Step 4: Simplify right side
    6,654.88x = 27,013,049.70
  5. Step 5: Solve for x
    x = 27,013,049.70/6,654.88
  6. Step 6: Final answer
    x = 4,059.13

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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.