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Finding the Fourth Proportional to 8,141.78, 12,212.70 and 1,985.78

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Solution

The fourth proportional to 8,141.78, 12,212.70 and 1,985.78 is: 2,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.78 : 12,212.70 = 1,985.78 : x
  2. Step 2: Convert to fraction form
    8,141.78/12,212.70 = 1,985.78/x
  3. Step 3: Cross multiply
    8,141.78x = 12,212.70 × 1,985.78
  4. Step 4: Simplify right side
    8,141.78x = 24,251,735.41
  5. Step 5: Solve for x
    x = 24,251,735.41/8,141.78
  6. Step 6: Final answer
    x = 2,978.68

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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.