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Finding the Fourth Proportional to 12,438, 17,164.44 and 6,849

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Solution

The fourth proportional to 12,438, 17,164.44 and 6,849 is: 9,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 17,164.44 = 6,849 : x
  2. Step 2: Convert to fraction form
    12,438/17,164.44 = 6,849/x
  3. Step 3: Cross multiply
    12,438x = 17,164.44 × 6,849
  4. Step 4: Simplify right side
    12,438x = 117,559,249.56
  5. Step 5: Solve for x
    x = 117,559,249.56/12,438
  6. Step 6: Final answer
    x = 9,451.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.