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Finding the Fourth Proportional to 6,956.32, 10,438 and 3,063.44

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Solution

The fourth proportional to 6,956.32, 10,438 and 3,063.44 is: 4,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.32 : 10,438 = 3,063.44 : x
  2. Step 2: Convert to fraction form
    6,956.32/10,438 = 3,063.44/x
  3. Step 3: Cross multiply
    6,956.32x = 10,438 × 3,063.44
  4. Step 4: Simplify right side
    6,956.32x = 31,976,186.72
  5. Step 5: Solve for x
    x = 31,976,186.72/6,956.32
  6. Step 6: Final answer
    x = 4,596.71

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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.