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Finding the Fourth Proportional to 17,206.26, 25,813.72 and 4,894.26

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Solution

The fourth proportional to 17,206.26, 25,813.72 and 4,894.26 is: 7,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.26 : 25,813.72 = 4,894.26 : x
  2. Step 2: Convert to fraction form
    17,206.26/25,813.72 = 4,894.26/x
  3. Step 3: Cross multiply
    17,206.26x = 25,813.72 × 4,894.26
  4. Step 4: Simplify right side
    17,206.26x = 126,339,057.25
  5. Step 5: Solve for x
    x = 126,339,057.25/17,206.26
  6. Step 6: Final answer
    x = 7,342.62

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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.