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Finding the Fourth Proportional to 7,843.73, 10,820.26 and 6,353.33

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Solution

The fourth proportional to 7,843.73, 10,820.26 and 6,353.33 is: 8,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.73 : 10,820.26 = 6,353.33 : x
  2. Step 2: Convert to fraction form
    7,843.73/10,820.26 = 6,353.33/x
  3. Step 3: Cross multiply
    7,843.73x = 10,820.26 × 6,353.33
  4. Step 4: Simplify right side
    7,843.73x = 68,744,682.47
  5. Step 5: Solve for x
    x = 68,744,682.47/7,843.73
  6. Step 6: Final answer
    x = 8,764.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.