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Finding the Fourth Proportional to 17,205.26, 25,808.15 and 7,844.90

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Solution

The fourth proportional to 17,205.26, 25,808.15 and 7,844.90 is: 11,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.26 : 25,808.15 = 7,844.90 : x
  2. Step 2: Convert to fraction form
    17,205.26/25,808.15 = 7,844.90/x
  3. Step 3: Cross multiply
    17,205.26x = 25,808.15 × 7,844.90
  4. Step 4: Simplify right side
    17,205.26x = 202,462,355.94
  5. Step 5: Solve for x
    x = 202,462,355.94/17,205.26
  6. Step 6: Final answer
    x = 11,767.47

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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.