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Finding the Fourth Proportional to 6,018.06, 9,023.97 and 1,856.97

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Solution

The fourth proportional to 6,018.06, 9,023.97 and 1,856.97 is: 2,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018.06 : 9,023.97 = 1,856.97 : x
  2. Step 2: Convert to fraction form
    6,018.06/9,023.97 = 1,856.97/x
  3. Step 3: Cross multiply
    6,018.06x = 9,023.97 × 1,856.97
  4. Step 4: Simplify right side
    6,018.06x = 16,757,241.57
  5. Step 5: Solve for x
    x = 16,757,241.57/6,018.06
  6. Step 6: Final answer
    x = 2,784.49

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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.