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Finding the Fourth Proportional to 6,818.76, 10,233 and 2,924.28

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Solution

The fourth proportional to 6,818.76, 10,233 and 2,924.28 is: 4,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.76 : 10,233 = 2,924.28 : x
  2. Step 2: Convert to fraction form
    6,818.76/10,233 = 2,924.28/x
  3. Step 3: Cross multiply
    6,818.76x = 10,233 × 2,924.28
  4. Step 4: Simplify right side
    6,818.76x = 29,924,157.24
  5. Step 5: Solve for x
    x = 29,924,157.24/6,818.76
  6. Step 6: Final answer
    x = 4,388.50

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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.