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Finding the Fourth Proportional to 6,472.44, 9,706.77 and 3,698.60

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Solution

The fourth proportional to 6,472.44, 9,706.77 and 3,698.60 is: 5,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.44 : 9,706.77 = 3,698.60 : x
  2. Step 2: Convert to fraction form
    6,472.44/9,706.77 = 3,698.60/x
  3. Step 3: Cross multiply
    6,472.44x = 9,706.77 × 3,698.60
  4. Step 4: Simplify right side
    6,472.44x = 35,901,410.99
  5. Step 5: Solve for x
    x = 35,901,410.99/6,472.44
  6. Step 6: Final answer
    x = 5,546.81

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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.