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Finding the Fourth Proportional to 6,687.41, 9,230.15 and 4,449.38

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Solution

The fourth proportional to 6,687.41, 9,230.15 and 4,449.38 is: 6,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.41 : 9,230.15 = 4,449.38 : x
  2. Step 2: Convert to fraction form
    6,687.41/9,230.15 = 4,449.38/x
  3. Step 3: Cross multiply
    6,687.41x = 9,230.15 × 4,449.38
  4. Step 4: Simplify right side
    6,687.41x = 41,068,409.78
  5. Step 5: Solve for x
    x = 41,068,409.78/6,687.41
  6. Step 6: Final answer
    x = 6,141.16

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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.