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Finding the Fourth Proportional to 6,474.53, 9,692.66 and 4,001.40

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Solution

The fourth proportional to 6,474.53, 9,692.66 and 4,001.40 is: 5,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.53 : 9,692.66 = 4,001.40 : x
  2. Step 2: Convert to fraction form
    6,474.53/9,692.66 = 4,001.40/x
  3. Step 3: Cross multiply
    6,474.53x = 9,692.66 × 4,001.40
  4. Step 4: Simplify right side
    6,474.53x = 38,784,219.73
  5. Step 5: Solve for x
    x = 38,784,219.73/6,474.53
  6. Step 6: Final answer
    x = 5,990.27

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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.