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Finding the Fourth Proportional to 22,996.33, 34,487.13 and 7,410.31

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Solution

The fourth proportional to 22,996.33, 34,487.13 and 7,410.31 is: 11,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.33 : 34,487.13 = 7,410.31 : x
  2. Step 2: Convert to fraction form
    22,996.33/34,487.13 = 7,410.31/x
  3. Step 3: Cross multiply
    22,996.33x = 34,487.13 × 7,410.31
  4. Step 4: Simplify right side
    22,996.33x = 255,560,324.31
  5. Step 5: Solve for x
    x = 255,560,324.31/22,996.33
  6. Step 6: Final answer
    x = 11,113.09

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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.