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Finding the Fourth Proportional to 6,512.64, 9,767.09 and 1,832.33

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Solution

The fourth proportional to 6,512.64, 9,767.09 and 1,832.33 is: 2,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.64 : 9,767.09 = 1,832.33 : x
  2. Step 2: Convert to fraction form
    6,512.64/9,767.09 = 1,832.33/x
  3. Step 3: Cross multiply
    6,512.64x = 9,767.09 × 1,832.33
  4. Step 4: Simplify right side
    6,512.64x = 17,896,474.02
  5. Step 5: Solve for x
    x = 17,896,474.02/6,512.64
  6. Step 6: Final answer
    x = 2,747.96

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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.