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Finding the Fourth Proportional to 12,934.20, 19,404.90 and 5,542.20

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Solution

The fourth proportional to 12,934.20, 19,404.90 and 5,542.20 is: 8,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.20 : 19,404.90 = 5,542.20 : x
  2. Step 2: Convert to fraction form
    12,934.20/19,404.90 = 5,542.20/x
  3. Step 3: Cross multiply
    12,934.20x = 19,404.90 × 5,542.20
  4. Step 4: Simplify right side
    12,934.20x = 107,545,836.78
  5. Step 5: Solve for x
    x = 107,545,836.78/12,934.20
  6. Step 6: Final answer
    x = 8,314.84

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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.