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Finding the Fourth Proportional to 8,197.11, 12,306.03 and 6,827.22

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Solution

The fourth proportional to 8,197.11, 12,306.03 and 6,827.22 is: 10,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.11 : 12,306.03 = 6,827.22 : x
  2. Step 2: Convert to fraction form
    8,197.11/12,306.03 = 6,827.22/x
  3. Step 3: Cross multiply
    8,197.11x = 12,306.03 × 6,827.22
  4. Step 4: Simplify right side
    8,197.11x = 84,015,974.14
  5. Step 5: Solve for x
    x = 84,015,974.14/8,197.11
  6. Step 6: Final answer
    x = 10,249.46

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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.