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Finding the Fourth Proportional to 10,834.90, 14,959.11 and 8,850.22

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Solution

The fourth proportional to 10,834.90, 14,959.11 and 8,850.22 is: 12,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.90 : 14,959.11 = 8,850.22 : x
  2. Step 2: Convert to fraction form
    10,834.90/14,959.11 = 8,850.22/x
  3. Step 3: Cross multiply
    10,834.90x = 14,959.11 × 8,850.22
  4. Step 4: Simplify right side
    10,834.90x = 132,391,414.50
  5. Step 5: Solve for x
    x = 132,391,414.50/10,834.90
  6. Step 6: Final answer
    x = 12,218.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.