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Finding the Fourth Proportional to 18,588, 27,882 and 6,276

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Solution

The fourth proportional to 18,588, 27,882 and 6,276 is: 9,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588 : 27,882 = 6,276 : x
  2. Step 2: Convert to fraction form
    18,588/27,882 = 6,276/x
  3. Step 3: Cross multiply
    18,588x = 27,882 × 6,276
  4. Step 4: Simplify right side
    18,588x = 174,987,432
  5. Step 5: Solve for x
    x = 174,987,432/18,588
  6. Step 6: Final answer
    x = 9,414

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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.