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Finding the Fourth Proportional to 6,196.75, 9,295.13 and 3,889.87

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Solution

The fourth proportional to 6,196.75, 9,295.13 and 3,889.87 is: 5,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.75 : 9,295.13 = 3,889.87 : x
  2. Step 2: Convert to fraction form
    6,196.75/9,295.13 = 3,889.87/x
  3. Step 3: Cross multiply
    6,196.75x = 9,295.13 × 3,889.87
  4. Step 4: Simplify right side
    6,196.75x = 36,156,847.33
  5. Step 5: Solve for x
    x = 36,156,847.33/6,196.75
  6. Step 6: Final answer
    x = 5,834.81

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1.5x scale

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.