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Finding the Fourth Proportional to 6,092.56, 8,407.92 and 3,440.08

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Solution

The fourth proportional to 6,092.56, 8,407.92 and 3,440.08 is: 4,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.56 : 8,407.92 = 3,440.08 : x
  2. Step 2: Convert to fraction form
    6,092.56/8,407.92 = 3,440.08/x
  3. Step 3: Cross multiply
    6,092.56x = 8,407.92 × 3,440.08
  4. Step 4: Simplify right side
    6,092.56x = 28,923,917.43
  5. Step 5: Solve for x
    x = 28,923,917.43/6,092.56
  6. Step 6: Final answer
    x = 4,747.42

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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.