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Finding the Fourth Proportional to 6,333, 9,502.74 and 2,824.08

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Solution

The fourth proportional to 6,333, 9,502.74 and 2,824.08 is: 4,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333 : 9,502.74 = 2,824.08 : x
  2. Step 2: Convert to fraction form
    6,333/9,502.74 = 2,824.08/x
  3. Step 3: Cross multiply
    6,333x = 9,502.74 × 2,824.08
  4. Step 4: Simplify right side
    6,333x = 26,836,497.98
  5. Step 5: Solve for x
    x = 26,836,497.98/6,333
  6. Step 6: Final answer
    x = 4,237.56

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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.