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Finding the Fourth Proportional to 8,170.84, 12,249.42 and 3,786.04

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Solution

The fourth proportional to 8,170.84, 12,249.42 and 3,786.04 is: 5,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.84 : 12,249.42 = 3,786.04 : x
  2. Step 2: Convert to fraction form
    8,170.84/12,249.42 = 3,786.04/x
  3. Step 3: Cross multiply
    8,170.84x = 12,249.42 × 3,786.04
  4. Step 4: Simplify right side
    8,170.84x = 46,376,794.10
  5. Step 5: Solve for x
    x = 46,376,794.10/8,170.84
  6. Step 6: Final answer
    x = 5,675.89

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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.