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Finding the Fourth Proportional to 7,161.81, 9,883.15 and 3,974.92

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Solution

The fourth proportional to 7,161.81, 9,883.15 and 3,974.92 is: 5,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.81 : 9,883.15 = 3,974.92 : x
  2. Step 2: Convert to fraction form
    7,161.81/9,883.15 = 3,974.92/x
  3. Step 3: Cross multiply
    7,161.81x = 9,883.15 × 3,974.92
  4. Step 4: Simplify right side
    7,161.81x = 39,284,755.31
  5. Step 5: Solve for x
    x = 39,284,755.31/7,161.81
  6. Step 6: Final answer
    x = 5,485.31

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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.