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Finding the Fourth Proportional to 22,527.86, 33,782.13 and 7,738.25

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Solution

The fourth proportional to 22,527.86, 33,782.13 and 7,738.25 is: 11,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.86 : 33,782.13 = 7,738.25 : x
  2. Step 2: Convert to fraction form
    22,527.86/33,782.13 = 7,738.25/x
  3. Step 3: Cross multiply
    22,527.86x = 33,782.13 × 7,738.25
  4. Step 4: Simplify right side
    22,527.86x = 261,414,567.47
  5. Step 5: Solve for x
    x = 261,414,567.47/22,527.86
  6. Step 6: Final answer
    x = 11,604.06

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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.