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Finding the Fourth Proportional to 22,535.70, 33,807.60 and 7,740.78

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Solution

The fourth proportional to 22,535.70, 33,807.60 and 7,740.78 is: 11,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.70 : 33,807.60 = 7,740.78 : x
  2. Step 2: Convert to fraction form
    22,535.70/33,807.60 = 7,740.78/x
  3. Step 3: Cross multiply
    22,535.70x = 33,807.60 × 7,740.78
  4. Step 4: Simplify right side
    22,535.70x = 261,697,193.93
  5. Step 5: Solve for x
    x = 261,697,193.93/22,535.70
  6. Step 6: Final answer
    x = 11,612.56

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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.