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Finding the Fourth Proportional to 27,647, 41,476.98 and 9,179

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Solution

The fourth proportional to 27,647, 41,476.98 and 9,179 is: 13,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 41,476.98 = 9,179 : x
  2. Step 2: Convert to fraction form
    27,647/41,476.98 = 9,179/x
  3. Step 3: Cross multiply
    27,647x = 41,476.98 × 9,179
  4. Step 4: Simplify right side
    27,647x = 380,717,199.42
  5. Step 5: Solve for x
    x = 380,717,199.42/27,647
  6. Step 6: Final answer
    x = 13,770.65

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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.