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Finding the Fourth Proportional to 12,793.41, 19,196.28 and 5,778.41

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Solution

The fourth proportional to 12,793.41, 19,196.28 and 5,778.41 is: 8,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.41 : 19,196.28 = 5,778.41 : x
  2. Step 2: Convert to fraction form
    12,793.41/19,196.28 = 5,778.41/x
  3. Step 3: Cross multiply
    12,793.41x = 19,196.28 × 5,778.41
  4. Step 4: Simplify right side
    12,793.41x = 110,923,880.33
  5. Step 5: Solve for x
    x = 110,923,880.33/12,793.41
  6. Step 6: Final answer
    x = 8,670.39

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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.