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Finding the Fourth Proportional to 6,542.92, 9,803.60 and 3,771.93

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Solution

The fourth proportional to 6,542.92, 9,803.60 and 3,771.93 is: 5,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.92 : 9,803.60 = 3,771.93 : x
  2. Step 2: Convert to fraction form
    6,542.92/9,803.60 = 3,771.93/x
  3. Step 3: Cross multiply
    6,542.92x = 9,803.60 × 3,771.93
  4. Step 4: Simplify right side
    6,542.92x = 36,978,474.09
  5. Step 5: Solve for x
    x = 36,978,474.09/6,542.92
  6. Step 6: Final answer
    x = 5,651.68

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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.