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Finding the Fourth Proportional to 6,592.88, 9,890.66 and 2,697.60

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Solution

The fourth proportional to 6,592.88, 9,890.66 and 2,697.60 is: 4,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.88 : 9,890.66 = 2,697.60 : x
  2. Step 2: Convert to fraction form
    6,592.88/9,890.66 = 2,697.60/x
  3. Step 3: Cross multiply
    6,592.88x = 9,890.66 × 2,697.60
  4. Step 4: Simplify right side
    6,592.88x = 26,681,044.42
  5. Step 5: Solve for x
    x = 26,681,044.42/6,592.88
  6. Step 6: Final answer
    x = 4,046.95

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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.