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Finding the Fourth Proportional to 6,587.50, 9,881.26 and 2,691.90

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Solution

The fourth proportional to 6,587.50, 9,881.26 and 2,691.90 is: 4,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.50 : 9,881.26 = 2,691.90 : x
  2. Step 2: Convert to fraction form
    6,587.50/9,881.26 = 2,691.90/x
  3. Step 3: Cross multiply
    6,587.50x = 9,881.26 × 2,691.90
  4. Step 4: Simplify right side
    6,587.50x = 26,599,363.79
  5. Step 5: Solve for x
    x = 26,599,363.79/6,587.50
  6. Step 6: Final answer
    x = 4,037.85

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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.