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Finding the Fourth Proportional to 7,932, 11,898 and 2,460

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Solution

The fourth proportional to 7,932, 11,898 and 2,460 is: 3,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932 : 11,898 = 2,460 : x
  2. Step 2: Convert to fraction form
    7,932/11,898 = 2,460/x
  3. Step 3: Cross multiply
    7,932x = 11,898 × 2,460
  4. Step 4: Simplify right side
    7,932x = 29,269,080
  5. Step 5: Solve for x
    x = 29,269,080/7,932
  6. Step 6: Final answer
    x = 3,690

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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.