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Finding the Fourth Proportional to 12,383, 17,088.84 and 6,794

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Solution

The fourth proportional to 12,383, 17,088.84 and 6,794 is: 9,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383 : 17,088.84 = 6,794 : x
  2. Step 2: Convert to fraction form
    12,383/17,088.84 = 6,794/x
  3. Step 3: Cross multiply
    12,383x = 17,088.84 × 6,794
  4. Step 4: Simplify right side
    12,383x = 116,101,578.96
  5. Step 5: Solve for x
    x = 116,101,578.96/12,383
  6. Step 6: Final answer
    x = 9,375.88

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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.