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Finding the Fourth Proportional to 8,114.49, 12,191.18 and 5,198.49

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Solution

The fourth proportional to 8,114.49, 12,191.18 and 5,198.49 is: 7,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.49 : 12,191.18 = 5,198.49 : x
  2. Step 2: Convert to fraction form
    8,114.49/12,191.18 = 5,198.49/x
  3. Step 3: Cross multiply
    8,114.49x = 12,191.18 × 5,198.49
  4. Step 4: Simplify right side
    8,114.49x = 63,375,701.33
  5. Step 5: Solve for x
    x = 63,375,701.33/8,114.49
  6. Step 6: Final answer
    x = 7,810.19

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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.