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Finding the Fourth Proportional to 6,147.90, 9,226.62 and 2,450.46

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Solution

The fourth proportional to 6,147.90, 9,226.62 and 2,450.46 is: 3,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.90 : 9,226.62 = 2,450.46 : x
  2. Step 2: Convert to fraction form
    6,147.90/9,226.62 = 2,450.46/x
  3. Step 3: Cross multiply
    6,147.90x = 9,226.62 × 2,450.46
  4. Step 4: Simplify right side
    6,147.90x = 22,609,463.25
  5. Step 5: Solve for x
    x = 22,609,463.25/6,147.90
  6. Step 6: Final answer
    x = 3,677.59

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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.