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Finding the Fourth Proportional to 27,198.42, 40,786.74 and 8,472.30

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Solution

The fourth proportional to 27,198.42, 40,786.74 and 8,472.30 is: 12,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.42 : 40,786.74 = 8,472.30 : x
  2. Step 2: Convert to fraction form
    27,198.42/40,786.74 = 8,472.30/x
  3. Step 3: Cross multiply
    27,198.42x = 40,786.74 × 8,472.30
  4. Step 4: Simplify right side
    27,198.42x = 345,557,497.30
  5. Step 5: Solve for x
    x = 345,557,497.30/27,198.42
  6. Step 6: Final answer
    x = 12,705.06

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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.