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Finding the Fourth Proportional to 27,855.62, 41,786.35 and 8,134.23

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Solution

The fourth proportional to 27,855.62, 41,786.35 and 8,134.23 is: 12,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.62 : 41,786.35 = 8,134.23 : x
  2. Step 2: Convert to fraction form
    27,855.62/41,786.35 = 8,134.23/x
  3. Step 3: Cross multiply
    27,855.62x = 41,786.35 × 8,134.23
  4. Step 4: Simplify right side
    27,855.62x = 339,899,728.83
  5. Step 5: Solve for x
    x = 339,899,728.83/27,855.62
  6. Step 6: Final answer
    x = 12,202.20

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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.