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Finding the Fourth Proportional to 12,097.84, 16,696.39 and 6,794.37

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Solution

The fourth proportional to 12,097.84, 16,696.39 and 6,794.37 is: 9,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.84 : 16,696.39 = 6,794.37 : x
  2. Step 2: Convert to fraction form
    12,097.84/16,696.39 = 6,794.37/x
  3. Step 3: Cross multiply
    12,097.84x = 16,696.39 × 6,794.37
  4. Step 4: Simplify right side
    12,097.84x = 113,441,451.32
  5. Step 5: Solve for x
    x = 113,441,451.32/12,097.84
  6. Step 6: Final answer
    x = 9,377.00

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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.