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Finding the Fourth Proportional to 6,376, 9,564 and 2,728

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Solution

The fourth proportional to 6,376, 9,564 and 2,728 is: 4,092

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376 : 9,564 = 2,728 : x
  2. Step 2: Convert to fraction form
    6,376/9,564 = 2,728/x
  3. Step 3: Cross multiply
    6,376x = 9,564 × 2,728
  4. Step 4: Simplify right side
    6,376x = 26,090,592
  5. Step 5: Solve for x
    x = 26,090,592/6,376
  6. Step 6: Final answer
    x = 4,092

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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.