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Finding the Fourth Proportional to 25,497, 38,249.82 and 7,963.38

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Solution

The fourth proportional to 25,497, 38,249.82 and 7,963.38 is: 11,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497 : 38,249.82 = 7,963.38 : x
  2. Step 2: Convert to fraction form
    25,497/38,249.82 = 7,963.38/x
  3. Step 3: Cross multiply
    25,497x = 38,249.82 × 7,963.38
  4. Step 4: Simplify right side
    25,497x = 304,597,851.59
  5. Step 5: Solve for x
    x = 304,597,851.59/25,497
  6. Step 6: Final answer
    x = 11,946.42

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1.5x scale

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.