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Finding the Fourth Proportional to 4,252, 6,378 and 1,174

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Solution

The fourth proportional to 4,252, 6,378 and 1,174 is: 1,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252 : 6,378 = 1,174 : x
  2. Step 2: Convert to fraction form
    4,252/6,378 = 1,174/x
  3. Step 3: Cross multiply
    4,252x = 6,378 × 1,174
  4. Step 4: Simplify right side
    4,252x = 7,487,772
  5. Step 5: Solve for x
    x = 7,487,772/4,252
  6. Step 6: Final answer
    x = 1,761

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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.