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Finding the Fourth Proportional to 25,112, 37,668 and 6,644

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Solution

The fourth proportional to 25,112, 37,668 and 6,644 is: 9,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,112 : 37,668 = 6,644 : x
  2. Step 2: Convert to fraction form
    25,112/37,668 = 6,644/x
  3. Step 3: Cross multiply
    25,112x = 37,668 × 6,644
  4. Step 4: Simplify right side
    25,112x = 250,266,192
  5. Step 5: Solve for x
    x = 250,266,192/25,112
  6. Step 6: Final answer
    x = 9,966

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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.