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Finding the Fourth Proportional to 6,794.97, 10,192.00 and 1,864.20

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Solution

The fourth proportional to 6,794.97, 10,192.00 and 1,864.20 is: 2,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.97 : 10,192.00 = 1,864.20 : x
  2. Step 2: Convert to fraction form
    6,794.97/10,192.00 = 1,864.20/x
  3. Step 3: Cross multiply
    6,794.97x = 10,192.00 × 1,864.20
  4. Step 4: Simplify right side
    6,794.97x = 18,999,906.12
  5. Step 5: Solve for x
    x = 18,999,906.12/6,794.97
  6. Step 6: Final answer
    x = 2,796.17

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1.5x scale

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.