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Finding the Fourth Proportional to 6,593, 9,098.34 and 3,649

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Solution

The fourth proportional to 6,593, 9,098.34 and 3,649 is: 5,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593 : 9,098.34 = 3,649 : x
  2. Step 2: Convert to fraction form
    6,593/9,098.34 = 3,649/x
  3. Step 3: Cross multiply
    6,593x = 9,098.34 × 3,649
  4. Step 4: Simplify right side
    6,593x = 33,199,842.66
  5. Step 5: Solve for x
    x = 33,199,842.66/6,593
  6. Step 6: Final answer
    x = 5,035.62

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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.