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Finding the Fourth Proportional to 15,235.24, 22,834.62 and 7,843.24

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Solution

The fourth proportional to 15,235.24, 22,834.62 and 7,843.24 is: 11,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.24 : 22,834.62 = 7,843.24 : x
  2. Step 2: Convert to fraction form
    15,235.24/22,834.62 = 7,843.24/x
  3. Step 3: Cross multiply
    15,235.24x = 22,834.62 × 7,843.24
  4. Step 4: Simplify right side
    15,235.24x = 179,097,404.97
  5. Step 5: Solve for x
    x = 179,097,404.97/15,235.24
  6. Step 6: Final answer
    x = 11,755.47

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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.