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Finding the Fourth Proportional to 9,668, 14,502 and 3,513.44

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Solution

The fourth proportional to 9,668, 14,502 and 3,513.44 is: 5,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668 : 14,502 = 3,513.44 : x
  2. Step 2: Convert to fraction form
    9,668/14,502 = 3,513.44/x
  3. Step 3: Cross multiply
    9,668x = 14,502 × 3,513.44
  4. Step 4: Simplify right side
    9,668x = 50,951,906.88
  5. Step 5: Solve for x
    x = 50,951,906.88/9,668
  6. Step 6: Final answer
    x = 5,270.16

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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.