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Finding the Fourth Proportional to 13,444, 20,166 and 3,716

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Solution

The fourth proportional to 13,444, 20,166 and 3,716 is: 5,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444 : 20,166 = 3,716 : x
  2. Step 2: Convert to fraction form
    13,444/20,166 = 3,716/x
  3. Step 3: Cross multiply
    13,444x = 20,166 × 3,716
  4. Step 4: Simplify right side
    13,444x = 74,936,856
  5. Step 5: Solve for x
    x = 74,936,856/13,444
  6. Step 6: Final answer
    x = 5,574

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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.