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Finding the Fourth Proportional to 6,658.73, 9,985.19 and 3,537.99

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Solution

The fourth proportional to 6,658.73, 9,985.19 and 3,537.99 is: 5,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.73 : 9,985.19 = 3,537.99 : x
  2. Step 2: Convert to fraction form
    6,658.73/9,985.19 = 3,537.99/x
  3. Step 3: Cross multiply
    6,658.73x = 9,985.19 × 3,537.99
  4. Step 4: Simplify right side
    6,658.73x = 35,327,462.90
  5. Step 5: Solve for x
    x = 35,327,462.90/6,658.73
  6. Step 6: Final answer
    x = 5,305.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.