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Finding the Fourth Proportional to 6,697.92, 10,047.67 and 1,767.60

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Solution

The fourth proportional to 6,697.92, 10,047.67 and 1,767.60 is: 2,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.92 : 10,047.67 = 1,767.60 : x
  2. Step 2: Convert to fraction form
    6,697.92/10,047.67 = 1,767.60/x
  3. Step 3: Cross multiply
    6,697.92x = 10,047.67 × 1,767.60
  4. Step 4: Simplify right side
    6,697.92x = 17,760,233.79
  5. Step 5: Solve for x
    x = 17,760,233.79/6,697.92
  6. Step 6: Final answer
    x = 2,651.61

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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.