Home / 11,441.97-15,781.75-6,966

Finding the Fourth Proportional to 11,441.97, 15,781.75 and 6,966

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Solution

The fourth proportional to 11,441.97, 15,781.75 and 6,966 is: 9,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.97 : 15,781.75 = 6,966 : x
  2. Step 2: Convert to fraction form
    11,441.97/15,781.75 = 6,966/x
  3. Step 3: Cross multiply
    11,441.97x = 15,781.75 × 6,966
  4. Step 4: Simplify right side
    11,441.97x = 109,935,653.09
  5. Step 5: Solve for x
    x = 109,935,653.09/11,441.97
  6. Step 6: Final answer
    x = 9,608.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.