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Finding the Fourth Proportional to 22,723.25, 34,086.09 and 7,142.09

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Solution

The fourth proportional to 22,723.25, 34,086.09 and 7,142.09 is: 10,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.25 : 34,086.09 = 7,142.09 : x
  2. Step 2: Convert to fraction form
    22,723.25/34,086.09 = 7,142.09/x
  3. Step 3: Cross multiply
    22,723.25x = 34,086.09 × 7,142.09
  4. Step 4: Simplify right side
    22,723.25x = 243,445,922.53
  5. Step 5: Solve for x
    x = 243,445,922.53/22,723.25
  6. Step 6: Final answer
    x = 10,713.52

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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.