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Finding the Fourth Proportional to 6,367.50, 9,538.26 and 3,900.24

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Solution

The fourth proportional to 6,367.50, 9,538.26 and 3,900.24 is: 5,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.50 : 9,538.26 = 3,900.24 : x
  2. Step 2: Convert to fraction form
    6,367.50/9,538.26 = 3,900.24/x
  3. Step 3: Cross multiply
    6,367.50x = 9,538.26 × 3,900.24
  4. Step 4: Simplify right side
    6,367.50x = 37,201,503.18
  5. Step 5: Solve for x
    x = 37,201,503.18/6,367.50
  6. Step 6: Final answer
    x = 5,842.40

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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.