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Finding the Fourth Proportional to 7,954.82, 11,932.24 and 2,110.98

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Solution

The fourth proportional to 7,954.82, 11,932.24 and 2,110.98 is: 3,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.82 : 11,932.24 = 2,110.98 : x
  2. Step 2: Convert to fraction form
    7,954.82/11,932.24 = 2,110.98/x
  3. Step 3: Cross multiply
    7,954.82x = 11,932.24 × 2,110.98
  4. Step 4: Simplify right side
    7,954.82x = 25,188,720.00
  5. Step 5: Solve for x
    x = 25,188,720.00/7,954.82
  6. Step 6: Final answer
    x = 3,166.47

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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.