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Finding the Fourth Proportional to 6,593.40, 9,881.39 and 3,083.13

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Solution

The fourth proportional to 6,593.40, 9,881.39 and 3,083.13 is: 4,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.40 : 9,881.39 = 3,083.13 : x
  2. Step 2: Convert to fraction form
    6,593.40/9,881.39 = 3,083.13/x
  3. Step 3: Cross multiply
    6,593.40x = 9,881.39 × 3,083.13
  4. Step 4: Simplify right side
    6,593.40x = 30,465,617.66
  5. Step 5: Solve for x
    x = 30,465,617.66/6,593.40
  6. Step 6: Final answer
    x = 4,620.62

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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.