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Finding the Fourth Proportional to 6,561.73, 9,834.09 and 2,664.01

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Solution

The fourth proportional to 6,561.73, 9,834.09 and 2,664.01 is: 3,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.73 : 9,834.09 = 2,664.01 : x
  2. Step 2: Convert to fraction form
    6,561.73/9,834.09 = 2,664.01/x
  3. Step 3: Cross multiply
    6,561.73x = 9,834.09 × 2,664.01
  4. Step 4: Simplify right side
    6,561.73x = 26,198,114.10
  5. Step 5: Solve for x
    x = 26,198,114.10/6,561.73
  6. Step 6: Final answer
    x = 3,992.56

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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.