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Finding the Fourth Proportional to 25,697, 38,545.52 and 7,229

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Solution

The fourth proportional to 25,697, 38,545.52 and 7,229 is: 10,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697 : 38,545.52 = 7,229 : x
  2. Step 2: Convert to fraction form
    25,697/38,545.52 = 7,229/x
  3. Step 3: Cross multiply
    25,697x = 38,545.52 × 7,229
  4. Step 4: Simplify right side
    25,697x = 278,645,564.08
  5. Step 5: Solve for x
    x = 278,645,564.08/25,697
  6. Step 6: Final answer
    x = 10,843.51

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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.