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Finding the Fourth Proportional to 13,986, 20,950.86 and 6,479.04

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Solution

The fourth proportional to 13,986, 20,950.86 and 6,479.04 is: 9,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 20,950.86 = 6,479.04 : x
  2. Step 2: Convert to fraction form
    13,986/20,950.86 = 6,479.04/x
  3. Step 3: Cross multiply
    13,986x = 20,950.86 × 6,479.04
  4. Step 4: Simplify right side
    13,986x = 135,741,459.97
  5. Step 5: Solve for x
    x = 135,741,459.97/13,986
  6. Step 6: Final answer
    x = 9,705.52

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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.