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Finding the Fourth Proportional to 7,204.25, 10,809.25 and 2,587.61

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Solution

The fourth proportional to 7,204.25, 10,809.25 and 2,587.61 is: 3,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.25 : 10,809.25 = 2,587.61 : x
  2. Step 2: Convert to fraction form
    7,204.25/10,809.25 = 2,587.61/x
  3. Step 3: Cross multiply
    7,204.25x = 10,809.25 × 2,587.61
  4. Step 4: Simplify right side
    7,204.25x = 27,970,062.88
  5. Step 5: Solve for x
    x = 27,970,062.88/7,204.25
  6. Step 6: Final answer
    x = 3,882.44

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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.