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Finding the Fourth Proportional to 10,642.92, 14,687.39 and 5,927.20

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Solution

The fourth proportional to 10,642.92, 14,687.39 and 5,927.20 is: 8,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.92 : 14,687.39 = 5,927.20 : x
  2. Step 2: Convert to fraction form
    10,642.92/14,687.39 = 5,927.20/x
  3. Step 3: Cross multiply
    10,642.92x = 14,687.39 × 5,927.20
  4. Step 4: Simplify right side
    10,642.92x = 87,055,098.01
  5. Step 5: Solve for x
    x = 87,055,098.01/10,642.92
  6. Step 6: Final answer
    x = 8,179.63

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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.