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Finding the Fourth Proportional to 17,049.69, 25,573.95 and 8,282.25

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Solution

The fourth proportional to 17,049.69, 25,573.95 and 8,282.25 is: 12,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049.69 : 25,573.95 = 8,282.25 : x
  2. Step 2: Convert to fraction form
    17,049.69/25,573.95 = 8,282.25/x
  3. Step 3: Cross multiply
    17,049.69x = 25,573.95 × 8,282.25
  4. Step 4: Simplify right side
    17,049.69x = 211,809,847.39
  5. Step 5: Solve for x
    x = 211,809,847.39/17,049.69
  6. Step 6: Final answer
    x = 12,423.09

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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.