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Finding the Fourth Proportional to 4,704.60, 6,535.92 and 4,661.78

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Solution

The fourth proportional to 4,704.60, 6,535.92 and 4,661.78 is: 6,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.60 : 6,535.92 = 4,661.78 : x
  2. Step 2: Convert to fraction form
    4,704.60/6,535.92 = 4,661.78/x
  3. Step 3: Cross multiply
    4,704.60x = 6,535.92 × 4,661.78
  4. Step 4: Simplify right side
    4,704.60x = 30,469,021.14
  5. Step 5: Solve for x
    x = 30,469,021.14/4,704.60
  6. Step 6: Final answer
    x = 6,476.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.