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Finding the Fourth Proportional to 25,644, 38,466 and 7,176

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Solution

The fourth proportional to 25,644, 38,466 and 7,176 is: 10,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 38,466 = 7,176 : x
  2. Step 2: Convert to fraction form
    25,644/38,466 = 7,176/x
  3. Step 3: Cross multiply
    25,644x = 38,466 × 7,176
  4. Step 4: Simplify right side
    25,644x = 276,032,016
  5. Step 5: Solve for x
    x = 276,032,016/25,644
  6. Step 6: Final answer
    x = 10,764

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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.