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Finding the Fourth Proportional to 6,765.50, 10,148.27 and 2,661.50

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Solution

The fourth proportional to 6,765.50, 10,148.27 and 2,661.50 is: 3,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.50 : 10,148.27 = 2,661.50 : x
  2. Step 2: Convert to fraction form
    6,765.50/10,148.27 = 2,661.50/x
  3. Step 3: Cross multiply
    6,765.50x = 10,148.27 × 2,661.50
  4. Step 4: Simplify right side
    6,765.50x = 27,009,620.61
  5. Step 5: Solve for x
    x = 27,009,620.61/6,765.50
  6. Step 6: Final answer
    x = 3,992.26

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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.