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Finding the Fourth Proportional to 6,235.24, 9,355.74 and 2,773.48

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Solution

The fourth proportional to 6,235.24, 9,355.74 and 2,773.48 is: 4,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.24 : 9,355.74 = 2,773.48 : x
  2. Step 2: Convert to fraction form
    6,235.24/9,355.74 = 2,773.48/x
  3. Step 3: Cross multiply
    6,235.24x = 9,355.74 × 2,773.48
  4. Step 4: Simplify right side
    6,235.24x = 25,947,957.78
  5. Step 5: Solve for x
    x = 25,947,957.78/6,235.24
  6. Step 6: Final answer
    x = 4,161.50

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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.