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Finding the Fourth Proportional to 4,864, 7,296 and 1,216

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Solution

The fourth proportional to 4,864, 7,296 and 1,216 is: 1,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 7,296 = 1,216 : x
  2. Step 2: Convert to fraction form
    4,864/7,296 = 1,216/x
  3. Step 3: Cross multiply
    4,864x = 7,296 × 1,216
  4. Step 4: Simplify right side
    4,864x = 8,871,936
  5. Step 5: Solve for x
    x = 8,871,936/4,864
  6. Step 6: Final answer
    x = 1,824

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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.