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Finding the Fourth Proportional to 6,853.17, 10,279.85 and 1,923.20

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Solution

The fourth proportional to 6,853.17, 10,279.85 and 1,923.20 is: 2,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.17 : 10,279.85 = 1,923.20 : x
  2. Step 2: Convert to fraction form
    6,853.17/10,279.85 = 1,923.20/x
  3. Step 3: Cross multiply
    6,853.17x = 10,279.85 × 1,923.20
  4. Step 4: Simplify right side
    6,853.17x = 19,770,146.50
  5. Step 5: Solve for x
    x = 19,770,146.50/6,853.17
  6. Step 6: Final answer
    x = 2,884.82

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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.