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Finding the Fourth Proportional to 7,724, 11,586 and 2,252

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Solution

The fourth proportional to 7,724, 11,586 and 2,252 is: 3,378

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 11,586 = 2,252 : x
  2. Step 2: Convert to fraction form
    7,724/11,586 = 2,252/x
  3. Step 3: Cross multiply
    7,724x = 11,586 × 2,252
  4. Step 4: Simplify right side
    7,724x = 26,091,672
  5. Step 5: Solve for x
    x = 26,091,672/7,724
  6. Step 6: Final answer
    x = 3,378

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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.