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Finding the Fourth Proportional to 8,194.57, 12,292.56 and 3,514.79

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Solution

The fourth proportional to 8,194.57, 12,292.56 and 3,514.79 is: 5,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.57 : 12,292.56 = 3,514.79 : x
  2. Step 2: Convert to fraction form
    8,194.57/12,292.56 = 3,514.79/x
  3. Step 3: Cross multiply
    8,194.57x = 12,292.56 × 3,514.79
  4. Step 4: Simplify right side
    8,194.57x = 43,205,797.69
  5. Step 5: Solve for x
    x = 43,205,797.69/8,194.57
  6. Step 6: Final answer
    x = 5,272.49

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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.