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Finding the Fourth Proportional to 7,744.65, 11,617.42 and 2,197.56

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Solution

The fourth proportional to 7,744.65, 11,617.42 and 2,197.56 is: 3,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.65 : 11,617.42 = 2,197.56 : x
  2. Step 2: Convert to fraction form
    7,744.65/11,617.42 = 2,197.56/x
  3. Step 3: Cross multiply
    7,744.65x = 11,617.42 × 2,197.56
  4. Step 4: Simplify right side
    7,744.65x = 25,529,977.50
  5. Step 5: Solve for x
    x = 25,529,977.50/7,744.65
  6. Step 6: Final answer
    x = 3,296.47

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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.