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Finding the Fourth Proportional to 25,674, 38,511 and 9,258

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Solution

The fourth proportional to 25,674, 38,511 and 9,258 is: 13,887

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674 : 38,511 = 9,258 : x
  2. Step 2: Convert to fraction form
    25,674/38,511 = 9,258/x
  3. Step 3: Cross multiply
    25,674x = 38,511 × 9,258
  4. Step 4: Simplify right side
    25,674x = 356,534,838
  5. Step 5: Solve for x
    x = 356,534,838/25,674
  6. Step 6: Final answer
    x = 13,887

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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.