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Finding the Fourth Proportional to 6,850.63, 9,453.81 and 3,866.43

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Solution

The fourth proportional to 6,850.63, 9,453.81 and 3,866.43 is: 5,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.63 : 9,453.81 = 3,866.43 : x
  2. Step 2: Convert to fraction form
    6,850.63/9,453.81 = 3,866.43/x
  3. Step 3: Cross multiply
    6,850.63x = 9,453.81 × 3,866.43
  4. Step 4: Simplify right side
    6,850.63x = 36,552,544.55
  5. Step 5: Solve for x
    x = 36,552,544.55/6,850.63
  6. Step 6: Final answer
    x = 5,335.65

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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.