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Finding the Fourth Proportional to 6,469.65, 9,704.52 and 2,768.76

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Solution

The fourth proportional to 6,469.65, 9,704.52 and 2,768.76 is: 4,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.65 : 9,704.52 = 2,768.76 : x
  2. Step 2: Convert to fraction form
    6,469.65/9,704.52 = 2,768.76/x
  3. Step 3: Cross multiply
    6,469.65x = 9,704.52 × 2,768.76
  4. Step 4: Simplify right side
    6,469.65x = 26,869,486.80
  5. Step 5: Solve for x
    x = 26,869,486.80/6,469.65
  6. Step 6: Final answer
    x = 4,153.16

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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.