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Finding the Fourth Proportional to 7,381, 10,185.83 and 4,396.96

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Solution

The fourth proportional to 7,381, 10,185.83 and 4,396.96 is: 6,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381 : 10,185.83 = 4,396.96 : x
  2. Step 2: Convert to fraction form
    7,381/10,185.83 = 4,396.96/x
  3. Step 3: Cross multiply
    7,381x = 10,185.83 × 4,396.96
  4. Step 4: Simplify right side
    7,381x = 44,786,687.08
  5. Step 5: Solve for x
    x = 44,786,687.08/7,381
  6. Step 6: Final answer
    x = 6,067.83

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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.