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Finding the Fourth Proportional to 6,751.98, 9,317.71 and 3,767.79

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Solution

The fourth proportional to 6,751.98, 9,317.71 and 3,767.79 is: 5,199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.98 : 9,317.71 = 3,767.79 : x
  2. Step 2: Convert to fraction form
    6,751.98/9,317.71 = 3,767.79/x
  3. Step 3: Cross multiply
    6,751.98x = 9,317.71 × 3,767.79
  4. Step 4: Simplify right side
    6,751.98x = 35,107,174.56
  5. Step 5: Solve for x
    x = 35,107,174.56/6,751.98
  6. Step 6: Final answer
    x = 5,199.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.