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Finding the Fourth Proportional to 25,696.75, 38,545.14 and 7,228.75

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Solution

The fourth proportional to 25,696.75, 38,545.14 and 7,228.75 is: 10,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.75 : 38,545.14 = 7,228.75 : x
  2. Step 2: Convert to fraction form
    25,696.75/38,545.14 = 7,228.75/x
  3. Step 3: Cross multiply
    25,696.75x = 38,545.14 × 7,228.75
  4. Step 4: Simplify right side
    25,696.75x = 278,633,180.78
  5. Step 5: Solve for x
    x = 278,633,180.78/25,696.75
  6. Step 6: Final answer
    x = 10,843.13

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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.