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Finding the Fourth Proportional to 6,832.27, 9,426 and 4,475.71

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Solution

The fourth proportional to 6,832.27, 9,426 and 4,475.71 is: 6,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.27 : 9,426 = 4,475.71 : x
  2. Step 2: Convert to fraction form
    6,832.27/9,426 = 4,475.71/x
  3. Step 3: Cross multiply
    6,832.27x = 9,426 × 4,475.71
  4. Step 4: Simplify right side
    6,832.27x = 42,188,042.46
  5. Step 5: Solve for x
    x = 42,188,042.46/6,832.27
  6. Step 6: Final answer
    x = 6,174.82

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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.