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Finding the Fourth Proportional to 6,540.19, 9,804 and 4,193.62

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Solution

The fourth proportional to 6,540.19, 9,804 and 4,193.62 is: 6,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.19 : 9,804 = 4,193.62 : x
  2. Step 2: Convert to fraction form
    6,540.19/9,804 = 4,193.62/x
  3. Step 3: Cross multiply
    6,540.19x = 9,804 × 4,193.62
  4. Step 4: Simplify right side
    6,540.19x = 41,114,250.48
  5. Step 5: Solve for x
    x = 41,114,250.48/6,540.19
  6. Step 6: Final answer
    x = 6,286.40

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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.