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Finding the Fourth Proportional to 10,407.74, 14,363.27 and 5,932.97

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Solution

The fourth proportional to 10,407.74, 14,363.27 and 5,932.97 is: 8,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.74 : 14,363.27 = 5,932.97 : x
  2. Step 2: Convert to fraction form
    10,407.74/14,363.27 = 5,932.97/x
  3. Step 3: Cross multiply
    10,407.74x = 14,363.27 × 5,932.97
  4. Step 4: Simplify right side
    10,407.74x = 85,216,748.53
  5. Step 5: Solve for x
    x = 85,216,748.53/10,407.74
  6. Step 6: Final answer
    x = 8,187.83

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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.