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Finding the Fourth Proportional to 4,234, 6,351 and 1,156

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Solution

The fourth proportional to 4,234, 6,351 and 1,156 is: 1,734

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 6,351 = 1,156 : x
  2. Step 2: Convert to fraction form
    4,234/6,351 = 1,156/x
  3. Step 3: Cross multiply
    4,234x = 6,351 × 1,156
  4. Step 4: Simplify right side
    4,234x = 7,341,756
  5. Step 5: Solve for x
    x = 7,341,756/4,234
  6. Step 6: Final answer
    x = 1,734

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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.