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Finding the Fourth Proportional to 38,466, 57,699 and 10,764

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Solution

The fourth proportional to 38,466, 57,699 and 10,764 is: 16,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 57,699 = 10,764 : x
  2. Step 2: Convert to fraction form
    38,466/57,699 = 10,764/x
  3. Step 3: Cross multiply
    38,466x = 57,699 × 10,764
  4. Step 4: Simplify right side
    38,466x = 621,072,036
  5. Step 5: Solve for x
    x = 621,072,036/38,466
  6. Step 6: Final answer
    x = 16,146

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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.