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Finding the Fourth Proportional to 10,591, 15,883.30 and 3,194.84

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Solution

The fourth proportional to 10,591, 15,883.30 and 3,194.84 is: 4,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591 : 15,883.30 = 3,194.84 : x
  2. Step 2: Convert to fraction form
    10,591/15,883.30 = 3,194.84/x
  3. Step 3: Cross multiply
    10,591x = 15,883.30 × 3,194.84
  4. Step 4: Simplify right side
    10,591x = 50,744,602.17
  5. Step 5: Solve for x
    x = 50,744,602.17/10,591
  6. Step 6: Final answer
    x = 4,791.29

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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.