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Finding the Fourth Proportional to 6,845.74, 9,447.11 and 3,861.57

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Solution

The fourth proportional to 6,845.74, 9,447.11 and 3,861.57 is: 5,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.74 : 9,447.11 = 3,861.57 : x
  2. Step 2: Convert to fraction form
    6,845.74/9,447.11 = 3,861.57/x
  3. Step 3: Cross multiply
    6,845.74x = 9,447.11 × 3,861.57
  4. Step 4: Simplify right side
    6,845.74x = 36,480,629.33
  5. Step 5: Solve for x
    x = 36,480,629.33/6,845.74
  6. Step 6: Final answer
    x = 5,328.95

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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.