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Finding the Fourth Proportional to 10,631.86, 15,950.64 and 9,469.82

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Solution

The fourth proportional to 10,631.86, 15,950.64 and 9,469.82 is: 14,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631.86 : 15,950.64 = 9,469.82 : x
  2. Step 2: Convert to fraction form
    10,631.86/15,950.64 = 9,469.82/x
  3. Step 3: Cross multiply
    10,631.86x = 15,950.64 × 9,469.82
  4. Step 4: Simplify right side
    10,631.86x = 151,049,689.68
  5. Step 5: Solve for x
    x = 151,049,689.68/10,631.86
  6. Step 6: Final answer
    x = 14,207.27

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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.