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Finding the Fourth Proportional to 5,969.68, 8,227.84 and 4,286.48

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Solution

The fourth proportional to 5,969.68, 8,227.84 and 4,286.48 is: 5,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.68 : 8,227.84 = 4,286.48 : x
  2. Step 2: Convert to fraction form
    5,969.68/8,227.84 = 4,286.48/x
  3. Step 3: Cross multiply
    5,969.68x = 8,227.84 × 4,286.48
  4. Step 4: Simplify right side
    5,969.68x = 35,268,471.60
  5. Step 5: Solve for x
    x = 35,268,471.60/5,969.68
  6. Step 6: Final answer
    x = 5,907.93

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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.