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Finding the Fourth Proportional to 17,197.28, 25,775.10 and 7,824.44

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Solution

The fourth proportional to 17,197.28, 25,775.10 and 7,824.44 is: 11,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.28 : 25,775.10 = 7,824.44 : x
  2. Step 2: Convert to fraction form
    17,197.28/25,775.10 = 7,824.44/x
  3. Step 3: Cross multiply
    17,197.28x = 25,775.10 × 7,824.44
  4. Step 4: Simplify right side
    17,197.28x = 201,675,723.44
  5. Step 5: Solve for x
    x = 201,675,723.44/17,197.28
  6. Step 6: Final answer
    x = 11,727.19

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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.