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Finding the Fourth Proportional to 22,805.98, 34,204.84 and 8,013

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Solution

The fourth proportional to 22,805.98, 34,204.84 and 8,013 is: 12,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.98 : 34,204.84 = 8,013 : x
  2. Step 2: Convert to fraction form
    22,805.98/34,204.84 = 8,013/x
  3. Step 3: Cross multiply
    22,805.98x = 34,204.84 × 8,013
  4. Step 4: Simplify right side
    22,805.98x = 274,083,382.92
  5. Step 5: Solve for x
    x = 274,083,382.92/22,805.98
  6. Step 6: Final answer
    x = 12,018.05

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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.