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Finding the Fourth Proportional to 6,863.16, 9,465.48 and 5,965.41

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Solution

The fourth proportional to 6,863.16, 9,465.48 and 5,965.41 is: 8,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.16 : 9,465.48 = 5,965.41 : x
  2. Step 2: Convert to fraction form
    6,863.16/9,465.48 = 5,965.41/x
  3. Step 3: Cross multiply
    6,863.16x = 9,465.48 × 5,965.41
  4. Step 4: Simplify right side
    6,863.16x = 56,465,469.05
  5. Step 5: Solve for x
    x = 56,465,469.05/6,863.16
  6. Step 6: Final answer
    x = 8,227.33

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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.