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Finding the Fourth Proportional to 22,916, 34,374 and 6,500

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Solution

The fourth proportional to 22,916, 34,374 and 6,500 is: 9,750

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916 : 34,374 = 6,500 : x
  2. Step 2: Convert to fraction form
    22,916/34,374 = 6,500/x
  3. Step 3: Cross multiply
    22,916x = 34,374 × 6,500
  4. Step 4: Simplify right side
    22,916x = 223,431,000
  5. Step 5: Solve for x
    x = 223,431,000/22,916
  6. Step 6: Final answer
    x = 9,750

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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.