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Finding the Fourth Proportional to 11,617.96, 17,404.26 and 9,282.82

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Solution

The fourth proportional to 11,617.96, 17,404.26 and 9,282.82 is: 13,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.96 : 17,404.26 = 9,282.82 : x
  2. Step 2: Convert to fraction form
    11,617.96/17,404.26 = 9,282.82/x
  3. Step 3: Cross multiply
    11,617.96x = 17,404.26 × 9,282.82
  4. Step 4: Simplify right side
    11,617.96x = 161,560,612.81
  5. Step 5: Solve for x
    x = 161,560,612.81/11,617.96
  6. Step 6: Final answer
    x = 13,906.11

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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.