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Finding the Fourth Proportional to 8,144.80, 12,217.20 and 5,214.40

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Solution

The fourth proportional to 8,144.80, 12,217.20 and 5,214.40 is: 7,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.80 : 12,217.20 = 5,214.40 : x
  2. Step 2: Convert to fraction form
    8,144.80/12,217.20 = 5,214.40/x
  3. Step 3: Cross multiply
    8,144.80x = 12,217.20 × 5,214.40
  4. Step 4: Simplify right side
    8,144.80x = 63,705,367.68
  5. Step 5: Solve for x
    x = 63,705,367.68/8,144.80
  6. Step 6: Final answer
    x = 7,821.60

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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.