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Finding the Fourth Proportional to 6,974.57, 10,462.54 and 2,292.68

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Solution

The fourth proportional to 6,974.57, 10,462.54 and 2,292.68 is: 3,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.57 : 10,462.54 = 2,292.68 : x
  2. Step 2: Convert to fraction form
    6,974.57/10,462.54 = 2,292.68/x
  3. Step 3: Cross multiply
    6,974.57x = 10,462.54 × 2,292.68
  4. Step 4: Simplify right side
    6,974.57x = 23,987,230.05
  5. Step 5: Solve for x
    x = 23,987,230.05/6,974.57
  6. Step 6: Final answer
    x = 3,439.24

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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.