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Finding the Fourth Proportional to 22,952.25, 34,406.34 and 8,153.09

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Solution

The fourth proportional to 22,952.25, 34,406.34 and 8,153.09 is: 12,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.25 : 34,406.34 = 8,153.09 : x
  2. Step 2: Convert to fraction form
    22,952.25/34,406.34 = 8,153.09/x
  3. Step 3: Cross multiply
    22,952.25x = 34,406.34 × 8,153.09
  4. Step 4: Simplify right side
    22,952.25x = 280,517,814.56
  5. Step 5: Solve for x
    x = 280,517,814.56/22,952.25
  6. Step 6: Final answer
    x = 12,221.80

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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.