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Finding the Fourth Proportional to 12,149.20, 18,223.80 and 6,965.20

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Solution

The fourth proportional to 12,149.20, 18,223.80 and 6,965.20 is: 10,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.20 : 18,223.80 = 6,965.20 : x
  2. Step 2: Convert to fraction form
    12,149.20/18,223.80 = 6,965.20/x
  3. Step 3: Cross multiply
    12,149.20x = 18,223.80 × 6,965.20
  4. Step 4: Simplify right side
    12,149.20x = 126,932,411.76
  5. Step 5: Solve for x
    x = 126,932,411.76/12,149.20
  6. Step 6: Final answer
    x = 10,447.80

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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.