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Finding the Fourth Proportional to 6,192.92, 8,546.10 and 3,398.42

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Solution

The fourth proportional to 6,192.92, 8,546.10 and 3,398.42 is: 4,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.92 : 8,546.10 = 3,398.42 : x
  2. Step 2: Convert to fraction form
    6,192.92/8,546.10 = 3,398.42/x
  3. Step 3: Cross multiply
    6,192.92x = 8,546.10 × 3,398.42
  4. Step 4: Simplify right side
    6,192.92x = 29,043,237.16
  5. Step 5: Solve for x
    x = 29,043,237.16/6,192.92
  6. Step 6: Final answer
    x = 4,689.75

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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.