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Finding the Fourth Proportional to 11,649.68, 16,076.73 and 6,344.49

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Solution

The fourth proportional to 11,649.68, 16,076.73 and 6,344.49 is: 8,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.68 : 16,076.73 = 6,344.49 : x
  2. Step 2: Convert to fraction form
    11,649.68/16,076.73 = 6,344.49/x
  3. Step 3: Cross multiply
    11,649.68x = 16,076.73 × 6,344.49
  4. Step 4: Simplify right side
    11,649.68x = 101,998,652.72
  5. Step 5: Solve for x
    x = 101,998,652.72/11,649.68
  6. Step 6: Final answer
    x = 8,755.49

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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.