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Finding the Fourth Proportional to 6,367.33, 8,771.24 and 5,420.09

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Solution

The fourth proportional to 6,367.33, 8,771.24 and 5,420.09 is: 7,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.33 : 8,771.24 = 5,420.09 : x
  2. Step 2: Convert to fraction form
    6,367.33/8,771.24 = 5,420.09/x
  3. Step 3: Cross multiply
    6,367.33x = 8,771.24 × 5,420.09
  4. Step 4: Simplify right side
    6,367.33x = 47,540,890.53
  5. Step 5: Solve for x
    x = 47,540,890.53/6,367.33
  6. Step 6: Final answer
    x = 7,466.37

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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.