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Finding the Fourth Proportional to 8,131.20, 12,196.80 and 7,180.80

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Solution

The fourth proportional to 8,131.20, 12,196.80 and 7,180.80 is: 10,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.20 : 12,196.80 = 7,180.80 : x
  2. Step 2: Convert to fraction form
    8,131.20/12,196.80 = 7,180.80/x
  3. Step 3: Cross multiply
    8,131.20x = 12,196.80 × 7,180.80
  4. Step 4: Simplify right side
    8,131.20x = 87,582,781.44
  5. Step 5: Solve for x
    x = 87,582,781.44/8,131.20
  6. Step 6: Final answer
    x = 10,771.20

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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.