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Finding the Fourth Proportional to 25,606, 38,409 and 6,150

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Solution

The fourth proportional to 25,606, 38,409 and 6,150 is: 9,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606 : 38,409 = 6,150 : x
  2. Step 2: Convert to fraction form
    25,606/38,409 = 6,150/x
  3. Step 3: Cross multiply
    25,606x = 38,409 × 6,150
  4. Step 4: Simplify right side
    25,606x = 236,215,350
  5. Step 5: Solve for x
    x = 236,215,350/25,606
  6. Step 6: Final answer
    x = 9,225

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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.