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Finding the Fourth Proportional to 6,205.98, 9,310.50 and 3,087.47

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Solution

The fourth proportional to 6,205.98, 9,310.50 and 3,087.47 is: 4,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.98 : 9,310.50 = 3,087.47 : x
  2. Step 2: Convert to fraction form
    6,205.98/9,310.50 = 3,087.47/x
  3. Step 3: Cross multiply
    6,205.98x = 9,310.50 × 3,087.47
  4. Step 4: Simplify right side
    6,205.98x = 28,745,842.88
  5. Step 5: Solve for x
    x = 28,745,842.88/6,205.98
  6. Step 6: Final answer
    x = 4,631.96

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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.