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Finding the Fourth Proportional to 8,092.64, 12,142.74 and 4,194.92

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Solution

The fourth proportional to 8,092.64, 12,142.74 and 4,194.92 is: 6,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.64 : 12,142.74 = 4,194.92 : x
  2. Step 2: Convert to fraction form
    8,092.64/12,142.74 = 4,194.92/x
  3. Step 3: Cross multiply
    8,092.64x = 12,142.74 × 4,194.92
  4. Step 4: Simplify right side
    8,092.64x = 50,937,822.88
  5. Step 5: Solve for x
    x = 50,937,822.88/8,092.64
  6. Step 6: Final answer
    x = 6,294.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.