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Finding the Fourth Proportional to 10,982.94, 15,158.07 and 6,268.38

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Solution

The fourth proportional to 10,982.94, 15,158.07 and 6,268.38 is: 8,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.94 : 15,158.07 = 6,268.38 : x
  2. Step 2: Convert to fraction form
    10,982.94/15,158.07 = 6,268.38/x
  3. Step 3: Cross multiply
    10,982.94x = 15,158.07 × 6,268.38
  4. Step 4: Simplify right side
    10,982.94x = 95,016,542.83
  5. Step 5: Solve for x
    x = 95,016,542.83/10,982.94
  6. Step 6: Final answer
    x = 8,651.28

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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.