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Finding the Fourth Proportional to 6,289.62, 8,679.84 and 3,772.14

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Solution

The fourth proportional to 6,289.62, 8,679.84 and 3,772.14 is: 5,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.62 : 8,679.84 = 3,772.14 : x
  2. Step 2: Convert to fraction form
    6,289.62/8,679.84 = 3,772.14/x
  3. Step 3: Cross multiply
    6,289.62x = 8,679.84 × 3,772.14
  4. Step 4: Simplify right side
    6,289.62x = 32,741,571.66
  5. Step 5: Solve for x
    x = 32,741,571.66/6,289.62
  6. Step 6: Final answer
    x = 5,205.65

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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.