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Finding the Fourth Proportional to 12,467.60, 18,679.80 and 8,082.80

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Solution

The fourth proportional to 12,467.60, 18,679.80 and 8,082.80 is: 12,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.60 : 18,679.80 = 8,082.80 : x
  2. Step 2: Convert to fraction form
    12,467.60/18,679.80 = 8,082.80/x
  3. Step 3: Cross multiply
    12,467.60x = 18,679.80 × 8,082.80
  4. Step 4: Simplify right side
    12,467.60x = 150,985,087.44
  5. Step 5: Solve for x
    x = 150,985,087.44/12,467.60
  6. Step 6: Final answer
    x = 12,110.20

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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.