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Finding the Fourth Proportional to 8,381.58, 12,578.46 and 6,757.74

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Solution

The fourth proportional to 8,381.58, 12,578.46 and 6,757.74 is: 10,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.58 : 12,578.46 = 6,757.74 : x
  2. Step 2: Convert to fraction form
    8,381.58/12,578.46 = 6,757.74/x
  3. Step 3: Cross multiply
    8,381.58x = 12,578.46 × 6,757.74
  4. Step 4: Simplify right side
    8,381.58x = 85,001,962.28
  5. Step 5: Solve for x
    x = 85,001,962.28/8,381.58
  6. Step 6: Final answer
    x = 10,141.52

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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.