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Finding the Fourth Proportional to 11,724, 17,586 and 3,516

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Solution

The fourth proportional to 11,724, 17,586 and 3,516 is: 5,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 17,586 = 3,516 : x
  2. Step 2: Convert to fraction form
    11,724/17,586 = 3,516/x
  3. Step 3: Cross multiply
    11,724x = 17,586 × 3,516
  4. Step 4: Simplify right side
    11,724x = 61,832,376
  5. Step 5: Solve for x
    x = 61,832,376/11,724
  6. Step 6: Final answer
    x = 5,274

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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.