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Finding the Fourth Proportional to 12,099.66, 16,696.62 and 6,793.44

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Solution

The fourth proportional to 12,099.66, 16,696.62 and 6,793.44 is: 9,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.66 : 16,696.62 = 6,793.44 : x
  2. Step 2: Convert to fraction form
    12,099.66/16,696.62 = 6,793.44/x
  3. Step 3: Cross multiply
    12,099.66x = 16,696.62 × 6,793.44
  4. Step 4: Simplify right side
    12,099.66x = 113,427,486.17
  5. Step 5: Solve for x
    x = 113,427,486.17/12,099.66
  6. Step 6: Final answer
    x = 9,374.44

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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.