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Finding the Fourth Proportional to 18,548, 27,822 and 6,236

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Solution

The fourth proportional to 18,548, 27,822 and 6,236 is: 9,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548 : 27,822 = 6,236 : x
  2. Step 2: Convert to fraction form
    18,548/27,822 = 6,236/x
  3. Step 3: Cross multiply
    18,548x = 27,822 × 6,236
  4. Step 4: Simplify right side
    18,548x = 173,497,992
  5. Step 5: Solve for x
    x = 173,497,992/18,548
  6. Step 6: Final answer
    x = 9,354

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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.