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Finding the Fourth Proportional to 6,846.22, 9,447.87 and 3,861.78

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Solution

The fourth proportional to 6,846.22, 9,447.87 and 3,861.78 is: 5,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.22 : 9,447.87 = 3,861.78 : x
  2. Step 2: Convert to fraction form
    6,846.22/9,447.87 = 3,861.78/x
  3. Step 3: Cross multiply
    6,846.22x = 9,447.87 × 3,861.78
  4. Step 4: Simplify right side
    6,846.22x = 36,485,595.41
  5. Step 5: Solve for x
    x = 36,485,595.41/6,846.22
  6. Step 6: Final answer
    x = 5,329.31

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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.