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Finding the Fourth Proportional to 17,296.25, 25,960.77 and 7,946.81

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Solution

The fourth proportional to 17,296.25, 25,960.77 and 7,946.81 is: 11,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.25 : 25,960.77 = 7,946.81 : x
  2. Step 2: Convert to fraction form
    17,296.25/25,960.77 = 7,946.81/x
  3. Step 3: Cross multiply
    17,296.25x = 25,960.77 × 7,946.81
  4. Step 4: Simplify right side
    17,296.25x = 206,305,306.64
  5. Step 5: Solve for x
    x = 206,305,306.64/17,296.25
  6. Step 6: Final answer
    x = 11,927.75

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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.