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Finding the Fourth Proportional to 12,473.10, 17,213.85 and 7,169.76

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Solution

The fourth proportional to 12,473.10, 17,213.85 and 7,169.76 is: 9,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.10 : 17,213.85 = 7,169.76 : x
  2. Step 2: Convert to fraction form
    12,473.10/17,213.85 = 7,169.76/x
  3. Step 3: Cross multiply
    12,473.10x = 17,213.85 × 7,169.76
  4. Step 4: Simplify right side
    12,473.10x = 123,419,173.18
  5. Step 5: Solve for x
    x = 123,419,173.18/12,473.10
  6. Step 6: Final answer
    x = 9,894.83

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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.