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Finding the Fourth Proportional to 6,638.76, 9,952.38 and 3,897

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Solution

The fourth proportional to 6,638.76, 9,952.38 and 3,897 is: 5,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.76 : 9,952.38 = 3,897 : x
  2. Step 2: Convert to fraction form
    6,638.76/9,952.38 = 3,897/x
  3. Step 3: Cross multiply
    6,638.76x = 9,952.38 × 3,897
  4. Step 4: Simplify right side
    6,638.76x = 38,784,424.86
  5. Step 5: Solve for x
    x = 38,784,424.86/6,638.76
  6. Step 6: Final answer
    x = 5,842.12

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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.