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Finding the Fourth Proportional to 10,774, 16,161 and 4,618

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Solution

The fourth proportional to 10,774, 16,161 and 4,618 is: 6,927

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 16,161 = 4,618 : x
  2. Step 2: Convert to fraction form
    10,774/16,161 = 4,618/x
  3. Step 3: Cross multiply
    10,774x = 16,161 × 4,618
  4. Step 4: Simplify right side
    10,774x = 74,631,498
  5. Step 5: Solve for x
    x = 74,631,498/10,774
  6. Step 6: Final answer
    x = 6,927

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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.