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Finding the Fourth Proportional to 12,099.32, 16,696.48 and 6,793.88

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Solution

The fourth proportional to 12,099.32, 16,696.48 and 6,793.88 is: 9,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.32 : 16,696.48 = 6,793.88 : x
  2. Step 2: Convert to fraction form
    12,099.32/16,696.48 = 6,793.88/x
  3. Step 3: Cross multiply
    12,099.32x = 16,696.48 × 6,793.88
  4. Step 4: Simplify right side
    12,099.32x = 113,433,881.54
  5. Step 5: Solve for x
    x = 113,433,881.54/12,099.32
  6. Step 6: Final answer
    x = 9,375.23

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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.