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Finding the Fourth Proportional to 8,192.80, 12,291.20 and 2,349.44

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Solution

The fourth proportional to 8,192.80, 12,291.20 and 2,349.44 is: 3,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.80 : 12,291.20 = 2,349.44 : x
  2. Step 2: Convert to fraction form
    8,192.80/12,291.20 = 2,349.44/x
  3. Step 3: Cross multiply
    8,192.80x = 12,291.20 × 2,349.44
  4. Step 4: Simplify right side
    8,192.80x = 28,877,436.93
  5. Step 5: Solve for x
    x = 28,877,436.93/8,192.80
  6. Step 6: Final answer
    x = 3,524.73

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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.