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Finding the Fourth Proportional to 8,156.78, 12,235.14 and 3,227.60

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Solution

The fourth proportional to 8,156.78, 12,235.14 and 3,227.60 is: 4,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.78 : 12,235.14 = 3,227.60 : x
  2. Step 2: Convert to fraction form
    8,156.78/12,235.14 = 3,227.60/x
  3. Step 3: Cross multiply
    8,156.78x = 12,235.14 × 3,227.60
  4. Step 4: Simplify right side
    8,156.78x = 39,490,137.86
  5. Step 5: Solve for x
    x = 39,490,137.86/8,156.78
  6. Step 6: Final answer
    x = 4,841.39

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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.