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Finding the Fourth Proportional to 6,857.87, 10,288.62 and 2,178

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Solution

The fourth proportional to 6,857.87, 10,288.62 and 2,178 is: 3,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.87 : 10,288.62 = 2,178 : x
  2. Step 2: Convert to fraction form
    6,857.87/10,288.62 = 2,178/x
  3. Step 3: Cross multiply
    6,857.87x = 10,288.62 × 2,178
  4. Step 4: Simplify right side
    6,857.87x = 22,408,614.36
  5. Step 5: Solve for x
    x = 22,408,614.36/6,857.87
  6. Step 6: Final answer
    x = 3,267.58

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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.