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Finding the Fourth Proportional to 12,097.98, 16,696.94 and 6,793.16

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Solution

The fourth proportional to 12,097.98, 16,696.94 and 6,793.16 is: 9,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.98 : 16,696.94 = 6,793.16 : x
  2. Step 2: Convert to fraction form
    12,097.98/16,696.94 = 6,793.16/x
  3. Step 3: Cross multiply
    12,097.98x = 16,696.94 × 6,793.16
  4. Step 4: Simplify right side
    12,097.98x = 113,424,984.93
  5. Step 5: Solve for x
    x = 113,424,984.93/12,097.98
  6. Step 6: Final answer
    x = 9,375.53

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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.