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Finding the Fourth Proportional to 6,227, 8,593.26 and 3,743

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Solution

The fourth proportional to 6,227, 8,593.26 and 3,743 is: 5,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227 : 8,593.26 = 3,743 : x
  2. Step 2: Convert to fraction form
    6,227/8,593.26 = 3,743/x
  3. Step 3: Cross multiply
    6,227x = 8,593.26 × 3,743
  4. Step 4: Simplify right side
    6,227x = 32,164,572.18
  5. Step 5: Solve for x
    x = 32,164,572.18/6,227
  6. Step 6: Final answer
    x = 5,165.34

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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.