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Finding the Fourth Proportional to 6,956, 10,434 and 2,339

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Solution

The fourth proportional to 6,956, 10,434 and 2,339 is: 3,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 10,434 = 2,339 : x
  2. Step 2: Convert to fraction form
    6,956/10,434 = 2,339/x
  3. Step 3: Cross multiply
    6,956x = 10,434 × 2,339
  4. Step 4: Simplify right side
    6,956x = 24,405,126
  5. Step 5: Solve for x
    x = 24,405,126/6,956
  6. Step 6: Final answer
    x = 3,508.50

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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.