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Finding the Fourth Proportional to 12,098, 18,147 and 4,802

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Solution

The fourth proportional to 12,098, 18,147 and 4,802 is: 7,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098 : 18,147 = 4,802 : x
  2. Step 2: Convert to fraction form
    12,098/18,147 = 4,802/x
  3. Step 3: Cross multiply
    12,098x = 18,147 × 4,802
  4. Step 4: Simplify right side
    12,098x = 87,141,894
  5. Step 5: Solve for x
    x = 87,141,894/12,098
  6. Step 6: Final answer
    x = 7,203

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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.