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Finding the Fourth Proportional to 6,266.70, 9,400.05 and 5,282.55

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Solution

The fourth proportional to 6,266.70, 9,400.05 and 5,282.55 is: 7,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.70 : 9,400.05 = 5,282.55 : x
  2. Step 2: Convert to fraction form
    6,266.70/9,400.05 = 5,282.55/x
  3. Step 3: Cross multiply
    6,266.70x = 9,400.05 × 5,282.55
  4. Step 4: Simplify right side
    6,266.70x = 49,656,234.13
  5. Step 5: Solve for x
    x = 49,656,234.13/6,266.70
  6. Step 6: Final answer
    x = 7,923.83

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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.