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Finding the Fourth Proportional to 11,900, 16,422 and 6,932

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Solution

The fourth proportional to 11,900, 16,422 and 6,932 is: 9,566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900 : 16,422 = 6,932 : x
  2. Step 2: Convert to fraction form
    11,900/16,422 = 6,932/x
  3. Step 3: Cross multiply
    11,900x = 16,422 × 6,932
  4. Step 4: Simplify right side
    11,900x = 113,837,304
  5. Step 5: Solve for x
    x = 113,837,304/11,900
  6. Step 6: Final answer
    x = 9,566.16

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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.