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Finding the Fourth Proportional to 6,791.70, 10,185.06 and 2,348.24

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Solution

The fourth proportional to 6,791.70, 10,185.06 and 2,348.24 is: 3,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.70 : 10,185.06 = 2,348.24 : x
  2. Step 2: Convert to fraction form
    6,791.70/10,185.06 = 2,348.24/x
  3. Step 3: Cross multiply
    6,791.70x = 10,185.06 × 2,348.24
  4. Step 4: Simplify right side
    6,791.70x = 23,916,965.29
  5. Step 5: Solve for x
    x = 23,916,965.29/6,791.70
  6. Step 6: Final answer
    x = 3,521.50

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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.