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Finding the Fourth Proportional to 6,157.97, 9,237 and 1,540.97

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Solution

The fourth proportional to 6,157.97, 9,237 and 1,540.97 is: 2,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.97 : 9,237 = 1,540.97 : x
  2. Step 2: Convert to fraction form
    6,157.97/9,237 = 1,540.97/x
  3. Step 3: Cross multiply
    6,157.97x = 9,237 × 1,540.97
  4. Step 4: Simplify right side
    6,157.97x = 14,233,893.71
  5. Step 5: Solve for x
    x = 14,233,893.71/6,157.97
  6. Step 6: Final answer
    x = 2,311.46

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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.