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Finding the Fourth Proportional to 8,001.62, 11,993.15 and 3,787.56

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Solution

The fourth proportional to 8,001.62, 11,993.15 and 3,787.56 is: 5,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.62 : 11,993.15 = 3,787.56 : x
  2. Step 2: Convert to fraction form
    8,001.62/11,993.15 = 3,787.56/x
  3. Step 3: Cross multiply
    8,001.62x = 11,993.15 × 3,787.56
  4. Step 4: Simplify right side
    8,001.62x = 45,424,763.38
  5. Step 5: Solve for x
    x = 45,424,763.38/8,001.62
  6. Step 6: Final answer
    x = 5,676.95

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1.5x scale

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.