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Finding the Fourth Proportional to 6,158.63, 9,239.40 and 1,998.65

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Solution

The fourth proportional to 6,158.63, 9,239.40 and 1,998.65 is: 2,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.63 : 9,239.40 = 1,998.65 : x
  2. Step 2: Convert to fraction form
    6,158.63/9,239.40 = 1,998.65/x
  3. Step 3: Cross multiply
    6,158.63x = 9,239.40 × 1,998.65
  4. Step 4: Simplify right side
    6,158.63x = 18,466,280.61
  5. Step 5: Solve for x
    x = 18,466,280.61/6,158.63
  6. Step 6: Final answer
    x = 2,998.44

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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.