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Finding the Fourth Proportional to 6,474.53, 9,708.46 and 2,091.42

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Solution

The fourth proportional to 6,474.53, 9,708.46 and 2,091.42 is: 3,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.53 : 9,708.46 = 2,091.42 : x
  2. Step 2: Convert to fraction form
    6,474.53/9,708.46 = 2,091.42/x
  3. Step 3: Cross multiply
    6,474.53x = 9,708.46 × 2,091.42
  4. Step 4: Simplify right side
    6,474.53x = 20,304,462.18
  5. Step 5: Solve for x
    x = 20,304,462.18/6,474.53
  6. Step 6: Final answer
    x = 3,136.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.