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Finding the Fourth Proportional to 25,843.24, 38,764.86 and 7,375.24

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Solution

The fourth proportional to 25,843.24, 38,764.86 and 7,375.24 is: 11,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.24 : 38,764.86 = 7,375.24 : x
  2. Step 2: Convert to fraction form
    25,843.24/38,764.86 = 7,375.24/x
  3. Step 3: Cross multiply
    25,843.24x = 38,764.86 × 7,375.24
  4. Step 4: Simplify right side
    25,843.24x = 285,900,146.07
  5. Step 5: Solve for x
    x = 285,900,146.07/25,843.24
  6. Step 6: Final answer
    x = 11,062.86

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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.