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Finding the Fourth Proportional to 6,359.46, 9,540.17 and 1,975.87

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Solution

The fourth proportional to 6,359.46, 9,540.17 and 1,975.87 is: 2,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.46 : 9,540.17 = 1,975.87 : x
  2. Step 2: Convert to fraction form
    6,359.46/9,540.17 = 1,975.87/x
  3. Step 3: Cross multiply
    6,359.46x = 9,540.17 × 1,975.87
  4. Step 4: Simplify right side
    6,359.46x = 18,850,135.70
  5. Step 5: Solve for x
    x = 18,850,135.70/6,359.46
  6. Step 6: Final answer
    x = 2,964.11

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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.