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Finding the Fourth Proportional to 6,657.12, 9,183.78 and 3,861

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Solution

The fourth proportional to 6,657.12, 9,183.78 and 3,861 is: 5,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.12 : 9,183.78 = 3,861 : x
  2. Step 2: Convert to fraction form
    6,657.12/9,183.78 = 3,861/x
  3. Step 3: Cross multiply
    6,657.12x = 9,183.78 × 3,861
  4. Step 4: Simplify right side
    6,657.12x = 35,458,574.58
  5. Step 5: Solve for x
    x = 35,458,574.58/6,657.12
  6. Step 6: Final answer
    x = 5,326.41

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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.