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Finding the Fourth Proportional to 6,655.59, 9,974.91 and 3,537.09

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Solution

The fourth proportional to 6,655.59, 9,974.91 and 3,537.09 is: 5,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.59 : 9,974.91 = 3,537.09 : x
  2. Step 2: Convert to fraction form
    6,655.59/9,974.91 = 3,537.09/x
  3. Step 3: Cross multiply
    6,655.59x = 9,974.91 × 3,537.09
  4. Step 4: Simplify right side
    6,655.59x = 35,282,154.41
  5. Step 5: Solve for x
    x = 35,282,154.41/6,655.59
  6. Step 6: Final answer
    x = 5,301.13

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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.