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Finding the Fourth Proportional to 7,843.92, 10,820.84 and 4,530

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Solution

The fourth proportional to 7,843.92, 10,820.84 and 4,530 is: 6,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.92 : 10,820.84 = 4,530 : x
  2. Step 2: Convert to fraction form
    7,843.92/10,820.84 = 4,530/x
  3. Step 3: Cross multiply
    7,843.92x = 10,820.84 × 4,530
  4. Step 4: Simplify right side
    7,843.92x = 49,018,405.20
  5. Step 5: Solve for x
    x = 49,018,405.20/7,843.92
  6. Step 6: Final answer
    x = 6,249.22

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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.