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Finding the Fourth Proportional to 6,771, 9,345.06 and 3,975.96

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Solution

The fourth proportional to 6,771, 9,345.06 and 3,975.96 is: 5,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771 : 9,345.06 = 3,975.96 : x
  2. Step 2: Convert to fraction form
    6,771/9,345.06 = 3,975.96/x
  3. Step 3: Cross multiply
    6,771x = 9,345.06 × 3,975.96
  4. Step 4: Simplify right side
    6,771x = 37,155,584.76
  5. Step 5: Solve for x
    x = 37,155,584.76/6,771
  6. Step 6: Final answer
    x = 5,487.46

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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.