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Finding the Fourth Proportional to 23,757.70, 35,644.47 and 7,964.29

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Solution

The fourth proportional to 23,757.70, 35,644.47 and 7,964.29 is: 11,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.70 : 35,644.47 = 7,964.29 : x
  2. Step 2: Convert to fraction form
    23,757.70/35,644.47 = 7,964.29/x
  3. Step 3: Cross multiply
    23,757.70x = 35,644.47 × 7,964.29
  4. Step 4: Simplify right side
    23,757.70x = 283,882,910.67
  5. Step 5: Solve for x
    x = 283,882,910.67/23,757.70
  6. Step 6: Final answer
    x = 11,949.09

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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.