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Finding the Fourth Proportional to 11,649.42, 16,076.86 and 6,344.14

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Solution

The fourth proportional to 11,649.42, 16,076.86 and 6,344.14 is: 8,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.42 : 16,076.86 = 6,344.14 : x
  2. Step 2: Convert to fraction form
    11,649.42/16,076.86 = 6,344.14/x
  3. Step 3: Cross multiply
    11,649.42x = 16,076.86 × 6,344.14
  4. Step 4: Simplify right side
    11,649.42x = 101,993,850.60
  5. Step 5: Solve for x
    x = 101,993,850.60/11,649.42
  6. Step 6: Final answer
    x = 8,755.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.