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Finding the Fourth Proportional to 6,841.92, 9,442.26 and 3,857.88

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Solution

The fourth proportional to 6,841.92, 9,442.26 and 3,857.88 is: 5,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.92 : 9,442.26 = 3,857.88 : x
  2. Step 2: Convert to fraction form
    6,841.92/9,442.26 = 3,857.88/x
  3. Step 3: Cross multiply
    6,841.92x = 9,442.26 × 3,857.88
  4. Step 4: Simplify right side
    6,841.92x = 36,427,106.01
  5. Step 5: Solve for x
    x = 36,427,106.01/6,841.92
  6. Step 6: Final answer
    x = 5,324.11

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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.