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Finding the Fourth Proportional to 11,650.08, 17,452 and 5,498.40

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Solution

The fourth proportional to 11,650.08, 17,452 and 5,498.40 is: 8,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.08 : 17,452 = 5,498.40 : x
  2. Step 2: Convert to fraction form
    11,650.08/17,452 = 5,498.40/x
  3. Step 3: Cross multiply
    11,650.08x = 17,452 × 5,498.40
  4. Step 4: Simplify right side
    11,650.08x = 95,958,076.80
  5. Step 5: Solve for x
    x = 95,958,076.80/11,650.08
  6. Step 6: Final answer
    x = 8,236.69

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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.