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Finding the Fourth Proportional to 6,697.71, 9,243.31 and 3,713.82

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Solution

The fourth proportional to 6,697.71, 9,243.31 and 3,713.82 is: 5,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.71 : 9,243.31 = 3,713.82 : x
  2. Step 2: Convert to fraction form
    6,697.71/9,243.31 = 3,713.82/x
  3. Step 3: Cross multiply
    6,697.71x = 9,243.31 × 3,713.82
  4. Step 4: Simplify right side
    6,697.71x = 34,327,970.98
  5. Step 5: Solve for x
    x = 34,327,970.98/6,697.71
  6. Step 6: Final answer
    x = 5,125.33

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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.