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Finding the Fourth Proportional to 6,974.01, 10,462.14 and 2,292.66

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Solution

The fourth proportional to 6,974.01, 10,462.14 and 2,292.66 is: 3,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.01 : 10,462.14 = 2,292.66 : x
  2. Step 2: Convert to fraction form
    6,974.01/10,462.14 = 2,292.66/x
  3. Step 3: Cross multiply
    6,974.01x = 10,462.14 × 2,292.66
  4. Step 4: Simplify right side
    6,974.01x = 23,986,129.89
  5. Step 5: Solve for x
    x = 23,986,129.89/6,974.01
  6. Step 6: Final answer
    x = 3,439.36

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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.