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Finding the Fourth Proportional to 8,099.58, 12,149.37 and 3,481.50

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Solution

The fourth proportional to 8,099.58, 12,149.37 and 3,481.50 is: 5,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.58 : 12,149.37 = 3,481.50 : x
  2. Step 2: Convert to fraction form
    8,099.58/12,149.37 = 3,481.50/x
  3. Step 3: Cross multiply
    8,099.58x = 12,149.37 × 3,481.50
  4. Step 4: Simplify right side
    8,099.58x = 42,298,031.66
  5. Step 5: Solve for x
    x = 42,298,031.66/8,099.58
  6. Step 6: Final answer
    x = 5,222.25

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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.