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Finding the Fourth Proportional to 20,198.40, 30,286.80 and 8,498.40

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Solution

The fourth proportional to 20,198.40, 30,286.80 and 8,498.40 is: 12,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.40 : 30,286.80 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    20,198.40/30,286.80 = 8,498.40/x
  3. Step 3: Cross multiply
    20,198.40x = 30,286.80 × 8,498.40
  4. Step 4: Simplify right side
    20,198.40x = 257,389,341.12
  5. Step 5: Solve for x
    x = 257,389,341.12/20,198.40
  6. Step 6: Final answer
    x = 12,743.06

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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.