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Finding the Fourth Proportional to 10,422.92, 14,377.65 and 5,945.90

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Solution

The fourth proportional to 10,422.92, 14,377.65 and 5,945.90 is: 8,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.92 : 14,377.65 = 5,945.90 : x
  2. Step 2: Convert to fraction form
    10,422.92/14,377.65 = 5,945.90/x
  3. Step 3: Cross multiply
    10,422.92x = 14,377.65 × 5,945.90
  4. Step 4: Simplify right side
    10,422.92x = 85,487,997.25
  5. Step 5: Solve for x
    x = 85,487,997.25/10,422.92
  6. Step 6: Final answer
    x = 8,201.93

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1.5x scale

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.