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Finding the Fourth Proportional to 6,659.56, 9,985.50 and 2,766.76

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Solution

The fourth proportional to 6,659.56, 9,985.50 and 2,766.76 is: 4,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.56 : 9,985.50 = 2,766.76 : x
  2. Step 2: Convert to fraction form
    6,659.56/9,985.50 = 2,766.76/x
  3. Step 3: Cross multiply
    6,659.56x = 9,985.50 × 2,766.76
  4. Step 4: Simplify right side
    6,659.56x = 27,627,481.98
  5. Step 5: Solve for x
    x = 27,627,481.98/6,659.56
  6. Step 6: Final answer
    x = 4,148.54

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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.