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Finding the Fourth Proportional to 13,196, 19,794 and 3,962

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Solution

The fourth proportional to 13,196, 19,794 and 3,962 is: 5,943

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196 : 19,794 = 3,962 : x
  2. Step 2: Convert to fraction form
    13,196/19,794 = 3,962/x
  3. Step 3: Cross multiply
    13,196x = 19,794 × 3,962
  4. Step 4: Simplify right side
    13,196x = 78,423,828
  5. Step 5: Solve for x
    x = 78,423,828/13,196
  6. Step 6: Final answer
    x = 5,943

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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.