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Finding the Fourth Proportional to 22,628.96, 33,943.82 and 7,838.31

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Solution

The fourth proportional to 22,628.96, 33,943.82 and 7,838.31 is: 11,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.96 : 33,943.82 = 7,838.31 : x
  2. Step 2: Convert to fraction form
    22,628.96/33,943.82 = 7,838.31/x
  3. Step 3: Cross multiply
    22,628.96x = 33,943.82 × 7,838.31
  4. Step 4: Simplify right side
    22,628.96x = 266,062,144.55
  5. Step 5: Solve for x
    x = 266,062,144.55/22,628.96
  6. Step 6: Final answer
    x = 11,757.60

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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.