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Finding the Fourth Proportional to 12,794.68, 19,197.78 and 6,942.52

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Solution

The fourth proportional to 12,794.68, 19,197.78 and 6,942.52 is: 10,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.68 : 19,197.78 = 6,942.52 : x
  2. Step 2: Convert to fraction form
    12,794.68/19,197.78 = 6,942.52/x
  3. Step 3: Cross multiply
    12,794.68x = 19,197.78 × 6,942.52
  4. Step 4: Simplify right side
    12,794.68x = 133,280,971.61
  5. Step 5: Solve for x
    x = 133,280,971.61/12,794.68
  6. Step 6: Final answer
    x = 10,416.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.