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Finding the Fourth Proportional to 19,794, 29,691 and 5,943

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Solution

The fourth proportional to 19,794, 29,691 and 5,943 is: 8,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 29,691 = 5,943 : x
  2. Step 2: Convert to fraction form
    19,794/29,691 = 5,943/x
  3. Step 3: Cross multiply
    19,794x = 29,691 × 5,943
  4. Step 4: Simplify right side
    19,794x = 176,453,613
  5. Step 5: Solve for x
    x = 176,453,613/19,794
  6. Step 6: Final answer
    x = 8,914.50

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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.