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Finding the Fourth Proportional to 6,928, 10,392.48 and 2,824

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Solution

The fourth proportional to 6,928, 10,392.48 and 2,824 is: 4,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928 : 10,392.48 = 2,824 : x
  2. Step 2: Convert to fraction form
    6,928/10,392.48 = 2,824/x
  3. Step 3: Cross multiply
    6,928x = 10,392.48 × 2,824
  4. Step 4: Simplify right side
    6,928x = 29,348,363.52
  5. Step 5: Solve for x
    x = 29,348,363.52/6,928
  6. Step 6: Final answer
    x = 4,236.20

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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.