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Finding the Fourth Proportional to 4,630.65, 6,949.86 and 2,000.14

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Solution

The fourth proportional to 4,630.65, 6,949.86 and 2,000.14 is: 3,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.65 : 6,949.86 = 2,000.14 : x
  2. Step 2: Convert to fraction form
    4,630.65/6,949.86 = 2,000.14/x
  3. Step 3: Cross multiply
    4,630.65x = 6,949.86 × 2,000.14
  4. Step 4: Simplify right side
    4,630.65x = 13,900,692.98
  5. Step 5: Solve for x
    x = 13,900,692.98/4,630.65
  6. Step 6: Final answer
    x = 3,001.89

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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.