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Finding the Fourth Proportional to 10,446.50, 15,676.23 and 6,066.02

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Solution

The fourth proportional to 10,446.50, 15,676.23 and 6,066.02 is: 9,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.50 : 15,676.23 = 6,066.02 : x
  2. Step 2: Convert to fraction form
    10,446.50/15,676.23 = 6,066.02/x
  3. Step 3: Cross multiply
    10,446.50x = 15,676.23 × 6,066.02
  4. Step 4: Simplify right side
    10,446.50x = 95,092,324.70
  5. Step 5: Solve for x
    x = 95,092,324.70/10,446.50
  6. Step 6: Final answer
    x = 9,102.79

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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.