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Finding the Fourth Proportional to 10,649.10, 14,695.38 and 5,934

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Solution

The fourth proportional to 10,649.10, 14,695.38 and 5,934 is: 8,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.10 : 14,695.38 = 5,934 : x
  2. Step 2: Convert to fraction form
    10,649.10/14,695.38 = 5,934/x
  3. Step 3: Cross multiply
    10,649.10x = 14,695.38 × 5,934
  4. Step 4: Simplify right side
    10,649.10x = 87,202,384.92
  5. Step 5: Solve for x
    x = 87,202,384.92/10,649.10
  6. Step 6: Final answer
    x = 8,188.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.