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Finding the Fourth Proportional to 6,794.32, 10,191.48 and 1,864

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Solution

The fourth proportional to 6,794.32, 10,191.48 and 1,864 is: 2,796

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.32 : 10,191.48 = 1,864 : x
  2. Step 2: Convert to fraction form
    6,794.32/10,191.48 = 1,864/x
  3. Step 3: Cross multiply
    6,794.32x = 10,191.48 × 1,864
  4. Step 4: Simplify right side
    6,794.32x = 18,996,918.72
  5. Step 5: Solve for x
    x = 18,996,918.72/6,794.32
  6. Step 6: Final answer
    x = 2,796

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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.