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Finding the Fourth Proportional to 8,519.20, 12,757.20 and 8,130.40

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Solution

The fourth proportional to 8,519.20, 12,757.20 and 8,130.40 is: 12,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.20 : 12,757.20 = 8,130.40 : x
  2. Step 2: Convert to fraction form
    8,519.20/12,757.20 = 8,130.40/x
  3. Step 3: Cross multiply
    8,519.20x = 12,757.20 × 8,130.40
  4. Step 4: Simplify right side
    8,519.20x = 103,721,138.88
  5. Step 5: Solve for x
    x = 103,721,138.88/8,519.20
  6. Step 6: Final answer
    x = 12,174.99

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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.