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Finding the Fourth Proportional to 22,986.09, 34,481.84 and 8,197.11

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Solution

The fourth proportional to 22,986.09, 34,481.84 and 8,197.11 is: 12,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.09 : 34,481.84 = 8,197.11 : x
  2. Step 2: Convert to fraction form
    22,986.09/34,481.84 = 8,197.11/x
  3. Step 3: Cross multiply
    22,986.09x = 34,481.84 × 8,197.11
  4. Step 4: Simplify right side
    22,986.09x = 282,651,394.50
  5. Step 5: Solve for x
    x = 282,651,394.50/22,986.09
  6. Step 6: Final answer
    x = 12,296.63

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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.