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Finding the Fourth Proportional to 6,590.52, 9,882.12 and 2,697.64

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Solution

The fourth proportional to 6,590.52, 9,882.12 and 2,697.64 is: 4,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.52 : 9,882.12 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    6,590.52/9,882.12 = 2,697.64/x
  3. Step 3: Cross multiply
    6,590.52x = 9,882.12 × 2,697.64
  4. Step 4: Simplify right side
    6,590.52x = 26,658,402.20
  5. Step 5: Solve for x
    x = 26,658,402.20/6,590.52
  6. Step 6: Final answer
    x = 4,044.96

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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.