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Finding the Fourth Proportional to 10,630.14, 15,948.12 and 3,234.84

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Solution

The fourth proportional to 10,630.14, 15,948.12 and 3,234.84 is: 4,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.14 : 15,948.12 = 3,234.84 : x
  2. Step 2: Convert to fraction form
    10,630.14/15,948.12 = 3,234.84/x
  3. Step 3: Cross multiply
    10,630.14x = 15,948.12 × 3,234.84
  4. Step 4: Simplify right side
    10,630.14x = 51,589,616.50
  5. Step 5: Solve for x
    x = 51,589,616.50/10,630.14
  6. Step 6: Final answer
    x = 4,853.15

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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.