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Finding the Fourth Proportional to 6,777.14, 9,352.39 and 3,793.00

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Solution

The fourth proportional to 6,777.14, 9,352.39 and 3,793.00 is: 5,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.14 : 9,352.39 = 3,793.00 : x
  2. Step 2: Convert to fraction form
    6,777.14/9,352.39 = 3,793.00/x
  3. Step 3: Cross multiply
    6,777.14x = 9,352.39 × 3,793.00
  4. Step 4: Simplify right side
    6,777.14x = 35,473,646.69
  5. Step 5: Solve for x
    x = 35,473,646.69/6,777.14
  6. Step 6: Final answer
    x = 5,234.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.