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Finding the Fourth Proportional to 12,146.20, 18,211.20 and 5,909.20

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Solution

The fourth proportional to 12,146.20, 18,211.20 and 5,909.20 is: 8,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.20 : 18,211.20 = 5,909.20 : x
  2. Step 2: Convert to fraction form
    12,146.20/18,211.20 = 5,909.20/x
  3. Step 3: Cross multiply
    12,146.20x = 18,211.20 × 5,909.20
  4. Step 4: Simplify right side
    12,146.20x = 107,613,623.04
  5. Step 5: Solve for x
    x = 107,613,623.04/12,146.20
  6. Step 6: Final answer
    x = 8,859.86

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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.