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Finding the Fourth Proportional to 17,649.06, 26,474.34 and 7,786.08

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Solution

The fourth proportional to 17,649.06, 26,474.34 and 7,786.08 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.06 : 26,474.34 = 7,786.08 : x
  2. Step 2: Convert to fraction form
    17,649.06/26,474.34 = 7,786.08/x
  3. Step 3: Cross multiply
    17,649.06x = 26,474.34 × 7,786.08
  4. Step 4: Simplify right side
    17,649.06x = 206,131,329.19
  5. Step 5: Solve for x
    x = 206,131,329.19/17,649.06
  6. Step 6: Final answer
    x = 11,679.45

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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.