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Finding the Fourth Proportional to 27,665, 41,498.22 and 9,197

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Solution

The fourth proportional to 27,665, 41,498.22 and 9,197 is: 13,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665 : 41,498.22 = 9,197 : x
  2. Step 2: Convert to fraction form
    27,665/41,498.22 = 9,197/x
  3. Step 3: Cross multiply
    27,665x = 41,498.22 × 9,197
  4. Step 4: Simplify right side
    27,665x = 381,659,129.34
  5. Step 5: Solve for x
    x = 381,659,129.34/27,665
  6. Step 6: Final answer
    x = 13,795.74

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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.