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Finding the Fourth Proportional to 25,647, 38,471.94 and 7,180.44

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Solution

The fourth proportional to 25,647, 38,471.94 and 7,180.44 is: 10,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647 : 38,471.94 = 7,180.44 : x
  2. Step 2: Convert to fraction form
    25,647/38,471.94 = 7,180.44/x
  3. Step 3: Cross multiply
    25,647x = 38,471.94 × 7,180.44
  4. Step 4: Simplify right side
    25,647x = 276,245,456.85
  5. Step 5: Solve for x
    x = 276,245,456.85/25,647
  6. Step 6: Final answer
    x = 10,771.06

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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.