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Finding the Fourth Proportional to 5,976.97, 8,969.54 and 2,081.38

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Solution

The fourth proportional to 5,976.97, 8,969.54 and 2,081.38 is: 3,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.97 : 8,969.54 = 2,081.38 : x
  2. Step 2: Convert to fraction form
    5,976.97/8,969.54 = 2,081.38/x
  3. Step 3: Cross multiply
    5,976.97x = 8,969.54 × 2,081.38
  4. Step 4: Simplify right side
    5,976.97x = 18,669,021.17
  5. Step 5: Solve for x
    x = 18,669,021.17/5,976.97
  6. Step 6: Final answer
    x = 3,123.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.