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Finding the Fourth Proportional to 6,197.61, 9,297.24 and 3,276.03

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Solution

The fourth proportional to 6,197.61, 9,297.24 and 3,276.03 is: 4,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.61 : 9,297.24 = 3,276.03 : x
  2. Step 2: Convert to fraction form
    6,197.61/9,297.24 = 3,276.03/x
  3. Step 3: Cross multiply
    6,197.61x = 9,297.24 × 3,276.03
  4. Step 4: Simplify right side
    6,197.61x = 30,458,037.16
  5. Step 5: Solve for x
    x = 30,458,037.16/6,197.61
  6. Step 6: Final answer
    x = 4,914.48

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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.