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Finding the Fourth Proportional to 6,466.76, 9,704.01 and 2,768.99

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Solution

The fourth proportional to 6,466.76, 9,704.01 and 2,768.99 is: 4,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.76 : 9,704.01 = 2,768.99 : x
  2. Step 2: Convert to fraction form
    6,466.76/9,704.01 = 2,768.99/x
  3. Step 3: Cross multiply
    6,466.76x = 9,704.01 × 2,768.99
  4. Step 4: Simplify right side
    6,466.76x = 26,870,306.65
  5. Step 5: Solve for x
    x = 26,870,306.65/6,466.76
  6. Step 6: Final answer
    x = 4,155.14

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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.