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Finding the Fourth Proportional to 6,296.98, 9,445.65 and 2,137

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Solution

The fourth proportional to 6,296.98, 9,445.65 and 2,137 is: 3,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.98 : 9,445.65 = 2,137 : x
  2. Step 2: Convert to fraction form
    6,296.98/9,445.65 = 2,137/x
  3. Step 3: Cross multiply
    6,296.98x = 9,445.65 × 2,137
  4. Step 4: Simplify right side
    6,296.98x = 20,185,354.05
  5. Step 5: Solve for x
    x = 20,185,354.05/6,296.98
  6. Step 6: Final answer
    x = 3,205.56

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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.