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Finding the Fourth Proportional to 6,716.96, 10,074.64 and 1,786.96

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Solution

The fourth proportional to 6,716.96, 10,074.64 and 1,786.96 is: 2,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.96 : 10,074.64 = 1,786.96 : x
  2. Step 2: Convert to fraction form
    6,716.96/10,074.64 = 1,786.96/x
  3. Step 3: Cross multiply
    6,716.96x = 10,074.64 × 1,786.96
  4. Step 4: Simplify right side
    6,716.96x = 18,002,978.69
  5. Step 5: Solve for x
    x = 18,002,978.69/6,716.96
  6. Step 6: Final answer
    x = 2,680.23

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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.