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Finding the Fourth Proportional to 6,587.98, 9,882.24 and 2,205.88

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Solution

The fourth proportional to 6,587.98, 9,882.24 and 2,205.88 is: 3,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.98 : 9,882.24 = 2,205.88 : x
  2. Step 2: Convert to fraction form
    6,587.98/9,882.24 = 2,205.88/x
  3. Step 3: Cross multiply
    6,587.98x = 9,882.24 × 2,205.88
  4. Step 4: Simplify right side
    6,587.98x = 21,799,035.57
  5. Step 5: Solve for x
    x = 21,799,035.57/6,587.98
  6. Step 6: Final answer
    x = 3,308.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.