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Finding the Fourth Proportional to 6,234.56, 8,614.24 and 4,824

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Solution

The fourth proportional to 6,234.56, 8,614.24 and 4,824 is: 6,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.56 : 8,614.24 = 4,824 : x
  2. Step 2: Convert to fraction form
    6,234.56/8,614.24 = 4,824/x
  3. Step 3: Cross multiply
    6,234.56x = 8,614.24 × 4,824
  4. Step 4: Simplify right side
    6,234.56x = 41,555,093.76
  5. Step 5: Solve for x
    x = 41,555,093.76/6,234.56
  6. Step 6: Final answer
    x = 6,665.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.