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Finding the Fourth Proportional to 12,469.05, 17,209.07 and 8,219.38

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Solution

The fourth proportional to 12,469.05, 17,209.07 and 8,219.38 is: 11,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.05 : 17,209.07 = 8,219.38 : x
  2. Step 2: Convert to fraction form
    12,469.05/17,209.07 = 8,219.38/x
  3. Step 3: Cross multiply
    12,469.05x = 17,209.07 × 8,219.38
  4. Step 4: Simplify right side
    12,469.05x = 141,447,885.78
  5. Step 5: Solve for x
    x = 141,447,885.78/12,469.05
  6. Step 6: Final answer
    x = 11,343.92

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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.