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Finding the Fourth Proportional to 12,934.68, 17,847.18 and 8,217.24

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Solution

The fourth proportional to 12,934.68, 17,847.18 and 8,217.24 is: 11,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.68 : 17,847.18 = 8,217.24 : x
  2. Step 2: Convert to fraction form
    12,934.68/17,847.18 = 8,217.24/x
  3. Step 3: Cross multiply
    12,934.68x = 17,847.18 × 8,217.24
  4. Step 4: Simplify right side
    12,934.68x = 146,654,561.38
  5. Step 5: Solve for x
    x = 146,654,561.38/12,934.68
  6. Step 6: Final answer
    x = 11,338.09

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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.