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Finding the Fourth Proportional to 6,850.71, 9,451.26 and 4,197.15

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Solution

The fourth proportional to 6,850.71, 9,451.26 and 4,197.15 is: 5,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.71 : 9,451.26 = 4,197.15 : x
  2. Step 2: Convert to fraction form
    6,850.71/9,451.26 = 4,197.15/x
  3. Step 3: Cross multiply
    6,850.71x = 9,451.26 × 4,197.15
  4. Step 4: Simplify right side
    6,850.71x = 39,668,355.91
  5. Step 5: Solve for x
    x = 39,668,355.91/6,850.71
  6. Step 6: Final answer
    x = 5,790.40

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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.