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Finding the Fourth Proportional to 6,463.01, 9,694.85 and 1,782.92

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Solution

The fourth proportional to 6,463.01, 9,694.85 and 1,782.92 is: 2,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.01 : 9,694.85 = 1,782.92 : x
  2. Step 2: Convert to fraction form
    6,463.01/9,694.85 = 1,782.92/x
  3. Step 3: Cross multiply
    6,463.01x = 9,694.85 × 1,782.92
  4. Step 4: Simplify right side
    6,463.01x = 17,285,170.66
  5. Step 5: Solve for x
    x = 17,285,170.66/6,463.01
  6. Step 6: Final answer
    x = 2,674.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.