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Finding the Fourth Proportional to 6,157.38, 9,236 and 1,540.38

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Solution

The fourth proportional to 6,157.38, 9,236 and 1,540.38 is: 2,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.38 : 9,236 = 1,540.38 : x
  2. Step 2: Convert to fraction form
    6,157.38/9,236 = 1,540.38/x
  3. Step 3: Cross multiply
    6,157.38x = 9,236 × 1,540.38
  4. Step 4: Simplify right side
    6,157.38x = 14,226,949.68
  5. Step 5: Solve for x
    x = 14,226,949.68/6,157.38
  6. Step 6: Final answer
    x = 2,310.55

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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.