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Finding the Fourth Proportional to 11,486.91, 17,231.91 and 7,922.44

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Solution

The fourth proportional to 11,486.91, 17,231.91 and 7,922.44 is: 11,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.91 : 17,231.91 = 7,922.44 : x
  2. Step 2: Convert to fraction form
    11,486.91/17,231.91 = 7,922.44/x
  3. Step 3: Cross multiply
    11,486.91x = 17,231.91 × 7,922.44
  4. Step 4: Simplify right side
    11,486.91x = 136,518,773.06
  5. Step 5: Solve for x
    x = 136,518,773.06/11,486.91
  6. Step 6: Final answer
    x = 11,884.73

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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.