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Finding the Fourth Proportional to 25,464, 38,198.16 and 6,996

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Solution

The fourth proportional to 25,464, 38,198.16 and 6,996 is: 10,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464 : 38,198.16 = 6,996 : x
  2. Step 2: Convert to fraction form
    25,464/38,198.16 = 6,996/x
  3. Step 3: Cross multiply
    25,464x = 38,198.16 × 6,996
  4. Step 4: Simplify right side
    25,464x = 267,234,327.36
  5. Step 5: Solve for x
    x = 267,234,327.36/25,464
  6. Step 6: Final answer
    x = 10,494.59

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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.