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Finding the Fourth Proportional to 7,896, 11,844 and 2,424

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Solution

The fourth proportional to 7,896, 11,844 and 2,424 is: 3,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896 : 11,844 = 2,424 : x
  2. Step 2: Convert to fraction form
    7,896/11,844 = 2,424/x
  3. Step 3: Cross multiply
    7,896x = 11,844 × 2,424
  4. Step 4: Simplify right side
    7,896x = 28,709,856
  5. Step 5: Solve for x
    x = 28,709,856/7,896
  6. Step 6: Final answer
    x = 3,636

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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.