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Finding the Fourth Proportional to 25,930.75, 38,896.14 and 7,462.75

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Solution

The fourth proportional to 25,930.75, 38,896.14 and 7,462.75 is: 11,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930.75 : 38,896.14 = 7,462.75 : x
  2. Step 2: Convert to fraction form
    25,930.75/38,896.14 = 7,462.75/x
  3. Step 3: Cross multiply
    25,930.75x = 38,896.14 × 7,462.75
  4. Step 4: Simplify right side
    25,930.75x = 290,272,168.79
  5. Step 5: Solve for x
    x = 290,272,168.79/25,930.75
  6. Step 6: Final answer
    x = 11,194.13

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Similar ratio
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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.