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Finding the Fourth Proportional to 6,596.12, 9,896.92 and 3,083.56

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Solution

The fourth proportional to 6,596.12, 9,896.92 and 3,083.56 is: 4,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.12 : 9,896.92 = 3,083.56 : x
  2. Step 2: Convert to fraction form
    6,596.12/9,896.92 = 3,083.56/x
  3. Step 3: Cross multiply
    6,596.12x = 9,896.92 × 3,083.56
  4. Step 4: Simplify right side
    6,596.12x = 30,517,714.18
  5. Step 5: Solve for x
    x = 30,517,714.18/6,596.12
  6. Step 6: Final answer
    x = 4,626.61

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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.