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Finding the Fourth Proportional to 9,630, 14,451.48 and 3,474

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Solution

The fourth proportional to 9,630, 14,451.48 and 3,474 is: 5,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630 : 14,451.48 = 3,474 : x
  2. Step 2: Convert to fraction form
    9,630/14,451.48 = 3,474/x
  3. Step 3: Cross multiply
    9,630x = 14,451.48 × 3,474
  4. Step 4: Simplify right side
    9,630x = 50,204,441.52
  5. Step 5: Solve for x
    x = 50,204,441.52/9,630
  6. Step 6: Final answer
    x = 5,213.34

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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.