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Finding the Fourth Proportional to 6,593.78, 9,869.18 and 3,587.29

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Solution

The fourth proportional to 6,593.78, 9,869.18 and 3,587.29 is: 5,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.78 : 9,869.18 = 3,587.29 : x
  2. Step 2: Convert to fraction form
    6,593.78/9,869.18 = 3,587.29/x
  3. Step 3: Cross multiply
    6,593.78x = 9,869.18 × 3,587.29
  4. Step 4: Simplify right side
    6,593.78x = 35,403,568.11
  5. Step 5: Solve for x
    x = 35,403,568.11/6,593.78
  6. Step 6: Final answer
    x = 5,369.24

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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.