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Finding the Fourth Proportional to 6,842.46, 10,261.87 and 3,508.50

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Solution

The fourth proportional to 6,842.46, 10,261.87 and 3,508.50 is: 5,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.46 : 10,261.87 = 3,508.50 : x
  2. Step 2: Convert to fraction form
    6,842.46/10,261.87 = 3,508.50/x
  3. Step 3: Cross multiply
    6,842.46x = 10,261.87 × 3,508.50
  4. Step 4: Simplify right side
    6,842.46x = 36,003,770.90
  5. Step 5: Solve for x
    x = 36,003,770.90/6,842.46
  6. Step 6: Final answer
    x = 5,261.82

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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.