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Finding the Fourth Proportional to 8,154.80, 12,232.20 and 7,182.80

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Solution

The fourth proportional to 8,154.80, 12,232.20 and 7,182.80 is: 10,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.80 : 12,232.20 = 7,182.80 : x
  2. Step 2: Convert to fraction form
    8,154.80/12,232.20 = 7,182.80/x
  3. Step 3: Cross multiply
    8,154.80x = 12,232.20 × 7,182.80
  4. Step 4: Simplify right side
    8,154.80x = 87,861,446.16
  5. Step 5: Solve for x
    x = 87,861,446.16/8,154.80
  6. Step 6: Final answer
    x = 10,774.20

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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.