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Finding the Fourth Proportional to 12,269.96, 16,932.36 and 7,234.38

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Solution

The fourth proportional to 12,269.96, 16,932.36 and 7,234.38 is: 9,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.96 : 16,932.36 = 7,234.38 : x
  2. Step 2: Convert to fraction form
    12,269.96/16,932.36 = 7,234.38/x
  3. Step 3: Cross multiply
    12,269.96x = 16,932.36 × 7,234.38
  4. Step 4: Simplify right side
    12,269.96x = 122,495,126.54
  5. Step 5: Solve for x
    x = 122,495,126.54/12,269.96
  6. Step 6: Final answer
    x = 9,983.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.