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Finding the Fourth Proportional to 13,699, 20,546.42 and 3,837

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Solution

The fourth proportional to 13,699, 20,546.42 and 3,837 is: 5,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699 : 20,546.42 = 3,837 : x
  2. Step 2: Convert to fraction form
    13,699/20,546.42 = 3,837/x
  3. Step 3: Cross multiply
    13,699x = 20,546.42 × 3,837
  4. Step 4: Simplify right side
    13,699x = 78,836,613.54
  5. Step 5: Solve for x
    x = 78,836,613.54/13,699
  6. Step 6: Final answer
    x = 5,754.92

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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.