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Finding the Fourth Proportional to 6,593.57, 9,893.58 and 3,083.81

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Solution

The fourth proportional to 6,593.57, 9,893.58 and 3,083.81 is: 4,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.57 : 9,893.58 = 3,083.81 : x
  2. Step 2: Convert to fraction form
    6,593.57/9,893.58 = 3,083.81/x
  3. Step 3: Cross multiply
    6,593.57x = 9,893.58 × 3,083.81
  4. Step 4: Simplify right side
    6,593.57x = 30,509,871.47
  5. Step 5: Solve for x
    x = 30,509,871.47/6,593.57
  6. Step 6: Final answer
    x = 4,627.22

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