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Finding the Fourth Proportional to 16,462.13, 22,717.73 and 9,010.13

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Solution

The fourth proportional to 16,462.13, 22,717.73 and 9,010.13 is: 12,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.13 : 22,717.73 = 9,010.13 : x
  2. Step 2: Convert to fraction form
    16,462.13/22,717.73 = 9,010.13/x
  3. Step 3: Cross multiply
    16,462.13x = 22,717.73 × 9,010.13
  4. Step 4: Simplify right side
    16,462.13x = 204,689,609.54
  5. Step 5: Solve for x
    x = 204,689,609.54/16,462.13
  6. Step 6: Final answer
    x = 12,433.97

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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.