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Finding the Fourth Proportional to 6,133.35, 9,200.03 and 5,149.20

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Solution

The fourth proportional to 6,133.35, 9,200.03 and 5,149.20 is: 7,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.35 : 9,200.03 = 5,149.20 : x
  2. Step 2: Convert to fraction form
    6,133.35/9,200.03 = 5,149.20/x
  3. Step 3: Cross multiply
    6,133.35x = 9,200.03 × 5,149.20
  4. Step 4: Simplify right side
    6,133.35x = 47,372,768.73
  5. Step 5: Solve for x
    x = 47,372,768.73/6,133.35
  6. Step 6: Final answer
    x = 7,723.80

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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.