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Finding the Fourth Proportional to 6,067.64, 9,096.98 and 1,905.28

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Solution

The fourth proportional to 6,067.64, 9,096.98 and 1,905.28 is: 2,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.64 : 9,096.98 = 1,905.28 : x
  2. Step 2: Convert to fraction form
    6,067.64/9,096.98 = 1,905.28/x
  3. Step 3: Cross multiply
    6,067.64x = 9,096.98 × 1,905.28
  4. Step 4: Simplify right side
    6,067.64x = 17,332,261.79
  5. Step 5: Solve for x
    x = 17,332,261.79/6,067.64
  6. Step 6: Final answer
    x = 2,856.51

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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.