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Finding the Fourth Proportional to 6,801, 10,200.60 and 2,853.06

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Solution

The fourth proportional to 6,801, 10,200.60 and 2,853.06 is: 4,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801 : 10,200.60 = 2,853.06 : x
  2. Step 2: Convert to fraction form
    6,801/10,200.60 = 2,853.06/x
  3. Step 3: Cross multiply
    6,801x = 10,200.60 × 2,853.06
  4. Step 4: Simplify right side
    6,801x = 29,102,923.84
  5. Step 5: Solve for x
    x = 29,102,923.84/6,801
  6. Step 6: Final answer
    x = 4,279.21

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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.