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Finding the Fourth Proportional to 6,016.87, 9,026.16 and 1,857.22

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Solution

The fourth proportional to 6,016.87, 9,026.16 and 1,857.22 is: 2,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.87 : 9,026.16 = 1,857.22 : x
  2. Step 2: Convert to fraction form
    6,016.87/9,026.16 = 1,857.22/x
  3. Step 3: Cross multiply
    6,016.87x = 9,026.16 × 1,857.22
  4. Step 4: Simplify right side
    6,016.87x = 16,763,564.88
  5. Step 5: Solve for x
    x = 16,763,564.88/6,016.87
  6. Step 6: Final answer
    x = 2,786.09

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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.