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Finding the Fourth Proportional to 6,663.38, 9,996.01 and 2,446.10

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Solution

The fourth proportional to 6,663.38, 9,996.01 and 2,446.10 is: 3,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.38 : 9,996.01 = 2,446.10 : x
  2. Step 2: Convert to fraction form
    6,663.38/9,996.01 = 2,446.10/x
  3. Step 3: Cross multiply
    6,663.38x = 9,996.01 × 2,446.10
  4. Step 4: Simplify right side
    6,663.38x = 24,451,221.45
  5. Step 5: Solve for x
    x = 24,451,221.45/6,663.38
  6. Step 6: Final answer
    x = 3,669.49

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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.