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Finding the Fourth Proportional to 12,099.75, 16,696.74 and 6,793.55

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Solution

The fourth proportional to 12,099.75, 16,696.74 and 6,793.55 is: 9,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.75 : 16,696.74 = 6,793.55 : x
  2. Step 2: Convert to fraction form
    12,099.75/16,696.74 = 6,793.55/x
  3. Step 3: Cross multiply
    12,099.75x = 16,696.74 × 6,793.55
  4. Step 4: Simplify right side
    12,099.75x = 113,430,138.03
  5. Step 5: Solve for x
    x = 113,430,138.03/12,099.75
  6. Step 6: Final answer
    x = 9,374.59

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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.