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Finding the Fourth Proportional to 6,246, 9,372.90 and 3,326.22

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Solution

The fourth proportional to 6,246, 9,372.90 and 3,326.22 is: 4,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246 : 9,372.90 = 3,326.22 : x
  2. Step 2: Convert to fraction form
    6,246/9,372.90 = 3,326.22/x
  3. Step 3: Cross multiply
    6,246x = 9,372.90 × 3,326.22
  4. Step 4: Simplify right side
    6,246x = 31,176,327.44
  5. Step 5: Solve for x
    x = 31,176,327.44/6,246
  6. Step 6: Final answer
    x = 4,991.41

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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.