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Finding the Fourth Proportional to 6,956.78, 10,429.65 and 3,444.30

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Solution

The fourth proportional to 6,956.78, 10,429.65 and 3,444.30 is: 5,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.78 : 10,429.65 = 3,444.30 : x
  2. Step 2: Convert to fraction form
    6,956.78/10,429.65 = 3,444.30/x
  3. Step 3: Cross multiply
    6,956.78x = 10,429.65 × 3,444.30
  4. Step 4: Simplify right side
    6,956.78x = 35,922,843.50
  5. Step 5: Solve for x
    x = 35,922,843.50/6,956.78
  6. Step 6: Final answer
    x = 5,163.72

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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.