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Finding the Fourth Proportional to 6,367.25, 9,507.98 and 5,199.55

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Solution

The fourth proportional to 6,367.25, 9,507.98 and 5,199.55 is: 7,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.25 : 9,507.98 = 5,199.55 : x
  2. Step 2: Convert to fraction form
    6,367.25/9,507.98 = 5,199.55/x
  3. Step 3: Cross multiply
    6,367.25x = 9,507.98 × 5,199.55
  4. Step 4: Simplify right side
    6,367.25x = 49,437,206.64
  5. Step 5: Solve for x
    x = 49,437,206.64/6,367.25
  6. Step 6: Final answer
    x = 7,764.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.