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Finding the Fourth Proportional to 8,217.40, 12,335.70 and 8,159.80

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Solution

The fourth proportional to 8,217.40, 12,335.70 and 8,159.80 is: 12,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.40 : 12,335.70 = 8,159.80 : x
  2. Step 2: Convert to fraction form
    8,217.40/12,335.70 = 8,159.80/x
  3. Step 3: Cross multiply
    8,217.40x = 12,335.70 × 8,159.80
  4. Step 4: Simplify right side
    8,217.40x = 100,656,844.86
  5. Step 5: Solve for x
    x = 100,656,844.86/8,217.40
  6. Step 6: Final answer
    x = 12,249.23

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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.