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Finding the Fourth Proportional to 15,932, 23,898 and 6,698

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Solution

The fourth proportional to 15,932, 23,898 and 6,698 is: 10,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932 : 23,898 = 6,698 : x
  2. Step 2: Convert to fraction form
    15,932/23,898 = 6,698/x
  3. Step 3: Cross multiply
    15,932x = 23,898 × 6,698
  4. Step 4: Simplify right side
    15,932x = 160,068,804
  5. Step 5: Solve for x
    x = 160,068,804/15,932
  6. Step 6: Final answer
    x = 10,047

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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.