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Finding the Fourth Proportional to 10,650.74, 15,976.14 and 3,255.17

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Solution

The fourth proportional to 10,650.74, 15,976.14 and 3,255.17 is: 4,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.74 : 15,976.14 = 3,255.17 : x
  2. Step 2: Convert to fraction form
    10,650.74/15,976.14 = 3,255.17/x
  3. Step 3: Cross multiply
    10,650.74x = 15,976.14 × 3,255.17
  4. Step 4: Simplify right side
    10,650.74x = 52,005,009.49
  5. Step 5: Solve for x
    x = 52,005,009.49/10,650.74
  6. Step 6: Final answer
    x = 4,882.76

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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.