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Finding the Fourth Proportional to 23,150.31, 34,726.97 and 9,299.31

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Solution

The fourth proportional to 23,150.31, 34,726.97 and 9,299.31 is: 13,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150.31 : 34,726.97 = 9,299.31 : x
  2. Step 2: Convert to fraction form
    23,150.31/34,726.97 = 9,299.31/x
  3. Step 3: Cross multiply
    23,150.31x = 34,726.97 × 9,299.31
  4. Step 4: Simplify right side
    23,150.31x = 322,936,812.89
  5. Step 5: Solve for x
    x = 322,936,812.89/23,150.31
  6. Step 6: Final answer
    x = 13,949.57

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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.