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Finding the Fourth Proportional to 6,850.14, 9,453.21 and 3,865.86

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Solution

The fourth proportional to 6,850.14, 9,453.21 and 3,865.86 is: 5,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.14 : 9,453.21 = 3,865.86 : x
  2. Step 2: Convert to fraction form
    6,850.14/9,453.21 = 3,865.86/x
  3. Step 3: Cross multiply
    6,850.14x = 9,453.21 × 3,865.86
  4. Step 4: Simplify right side
    6,850.14x = 36,544,786.41
  5. Step 5: Solve for x
    x = 36,544,786.41/6,850.14
  6. Step 6: Final answer
    x = 5,334.90

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1.5x scale

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.