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Finding the Fourth Proportional to 12,170.38, 16,794.72 and 6,865

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Solution

The fourth proportional to 12,170.38, 16,794.72 and 6,865 is: 9,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.38 : 16,794.72 = 6,865 : x
  2. Step 2: Convert to fraction form
    12,170.38/16,794.72 = 6,865/x
  3. Step 3: Cross multiply
    12,170.38x = 16,794.72 × 6,865
  4. Step 4: Simplify right side
    12,170.38x = 115,295,752.80
  5. Step 5: Solve for x
    x = 115,295,752.80/12,170.38
  6. Step 6: Final answer
    x = 9,473.47

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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.