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Finding the Fourth Proportional to 11,737.88, 16,196.22 and 6,699.80

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Solution

The fourth proportional to 11,737.88, 16,196.22 and 6,699.80 is: 9,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.88 : 16,196.22 = 6,699.80 : x
  2. Step 2: Convert to fraction form
    11,737.88/16,196.22 = 6,699.80/x
  3. Step 3: Cross multiply
    11,737.88x = 16,196.22 × 6,699.80
  4. Step 4: Simplify right side
    11,737.88x = 108,511,434.76
  5. Step 5: Solve for x
    x = 108,511,434.76/11,737.88
  6. Step 6: Final answer
    x = 9,244.55

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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.