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Finding the Fourth Proportional to 22,496.80, 33,740.72 and 7,704.48

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Solution

The fourth proportional to 22,496.80, 33,740.72 and 7,704.48 is: 11,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.80 : 33,740.72 = 7,704.48 : x
  2. Step 2: Convert to fraction form
    22,496.80/33,740.72 = 7,704.48/x
  3. Step 3: Cross multiply
    22,496.80x = 33,740.72 × 7,704.48
  4. Step 4: Simplify right side
    22,496.80x = 259,954,702.43
  5. Step 5: Solve for x
    x = 259,954,702.43/22,496.80
  6. Step 6: Final answer
    x = 11,555.19

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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.