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Finding the Fourth Proportional to 11,841.52, 17,765.76 and 9,997.12

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Solution

The fourth proportional to 11,841.52, 17,765.76 and 9,997.12 is: 14,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.52 : 17,765.76 = 9,997.12 : x
  2. Step 2: Convert to fraction form
    11,841.52/17,765.76 = 9,997.12/x
  3. Step 3: Cross multiply
    11,841.52x = 17,765.76 × 9,997.12
  4. Step 4: Simplify right side
    11,841.52x = 177,606,434.61
  5. Step 5: Solve for x
    x = 177,606,434.61/11,841.52
  6. Step 6: Final answer
    x = 14,998.62

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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.