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Finding the Fourth Proportional to 25,882.14, 38,823.97 and 7,162.33

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Solution

The fourth proportional to 25,882.14, 38,823.97 and 7,162.33 is: 10,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.14 : 38,823.97 = 7,162.33 : x
  2. Step 2: Convert to fraction form
    25,882.14/38,823.97 = 7,162.33/x
  3. Step 3: Cross multiply
    25,882.14x = 38,823.97 × 7,162.33
  4. Step 4: Simplify right side
    25,882.14x = 278,070,085.05
  5. Step 5: Solve for x
    x = 278,070,085.05/25,882.14
  6. Step 6: Final answer
    x = 10,743.71

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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.