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Finding the Fourth Proportional to 23,193, 34,795.26 and 6,777

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Solution

The fourth proportional to 23,193, 34,795.26 and 6,777 is: 10,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193 : 34,795.26 = 6,777 : x
  2. Step 2: Convert to fraction form
    23,193/34,795.26 = 6,777/x
  3. Step 3: Cross multiply
    23,193x = 34,795.26 × 6,777
  4. Step 4: Simplify right side
    23,193x = 235,807,477.02
  5. Step 5: Solve for x
    x = 235,807,477.02/23,193
  6. Step 6: Final answer
    x = 10,167.18

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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.