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Finding the Fourth Proportional to 25,690, 38,535 and 6,234

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Solution

The fourth proportional to 25,690, 38,535 and 6,234 is: 9,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690 : 38,535 = 6,234 : x
  2. Step 2: Convert to fraction form
    25,690/38,535 = 6,234/x
  3. Step 3: Cross multiply
    25,690x = 38,535 × 6,234
  4. Step 4: Simplify right side
    25,690x = 240,227,190
  5. Step 5: Solve for x
    x = 240,227,190/25,690
  6. Step 6: Final answer
    x = 9,351

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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.