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Finding the Fourth Proportional to 7,216, 10,824 and 1,744

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Solution

The fourth proportional to 7,216, 10,824 and 1,744 is: 2,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216 : 10,824 = 1,744 : x
  2. Step 2: Convert to fraction form
    7,216/10,824 = 1,744/x
  3. Step 3: Cross multiply
    7,216x = 10,824 × 1,744
  4. Step 4: Simplify right side
    7,216x = 18,877,056
  5. Step 5: Solve for x
    x = 18,877,056/7,216
  6. Step 6: Final answer
    x = 2,616

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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.