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Finding the Fourth Proportional to 6,393.42, 8,821.22 and 3,841.92

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Solution

The fourth proportional to 6,393.42, 8,821.22 and 3,841.92 is: 5,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.42 : 8,821.22 = 3,841.92 : x
  2. Step 2: Convert to fraction form
    6,393.42/8,821.22 = 3,841.92/x
  3. Step 3: Cross multiply
    6,393.42x = 8,821.22 × 3,841.92
  4. Step 4: Simplify right side
    6,393.42x = 33,890,421.54
  5. Step 5: Solve for x
    x = 33,890,421.54/6,393.42
  6. Step 6: Final answer
    x = 5,300.83

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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.