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Finding the Fourth Proportional to 11,649.81, 16,076.82 and 6,344.52

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Solution

The fourth proportional to 11,649.81, 16,076.82 and 6,344.52 is: 8,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.81 : 16,076.82 = 6,344.52 : x
  2. Step 2: Convert to fraction form
    11,649.81/16,076.82 = 6,344.52/x
  3. Step 3: Cross multiply
    11,649.81x = 16,076.82 × 6,344.52
  4. Step 4: Simplify right side
    11,649.81x = 101,999,706.03
  5. Step 5: Solve for x
    x = 101,999,706.03/11,649.81
  6. Step 6: Final answer
    x = 8,755.48

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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.