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Finding the Fourth Proportional to 6,251.10, 9,375 and 1,867.51

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Solution

The fourth proportional to 6,251.10, 9,375 and 1,867.51 is: 2,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.10 : 9,375 = 1,867.51 : x
  2. Step 2: Convert to fraction form
    6,251.10/9,375 = 1,867.51/x
  3. Step 3: Cross multiply
    6,251.10x = 9,375 × 1,867.51
  4. Step 4: Simplify right side
    6,251.10x = 17,507,906.25
  5. Step 5: Solve for x
    x = 17,507,906.25/6,251.10
  6. Step 6: Final answer
    x = 2,800.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.