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Finding the Fourth Proportional to 16,581.21, 22,879.49 and 9,506.27

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Solution

The fourth proportional to 16,581.21, 22,879.49 and 9,506.27 is: 13,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.21 : 22,879.49 = 9,506.27 : x
  2. Step 2: Convert to fraction form
    16,581.21/22,879.49 = 9,506.27/x
  3. Step 3: Cross multiply
    16,581.21x = 22,879.49 × 9,506.27
  4. Step 4: Simplify right side
    16,581.21x = 217,498,609.40
  5. Step 5: Solve for x
    x = 217,498,609.40/16,581.21
  6. Step 6: Final answer
    x = 13,117.17

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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.