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Finding the Fourth Proportional to 7,950.82, 10,972.62 and 4,414.09

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Solution

The fourth proportional to 7,950.82, 10,972.62 and 4,414.09 is: 6,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.82 : 10,972.62 = 4,414.09 : x
  2. Step 2: Convert to fraction form
    7,950.82/10,972.62 = 4,414.09/x
  3. Step 3: Cross multiply
    7,950.82x = 10,972.62 × 4,414.09
  4. Step 4: Simplify right side
    7,950.82x = 48,434,077.35
  5. Step 5: Solve for x
    x = 48,434,077.35/7,950.82
  6. Step 6: Final answer
    x = 6,091.71

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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.