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Finding the Fourth Proportional to 16,589.81, 22,893.94 and 9,137.81

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Solution

The fourth proportional to 16,589.81, 22,893.94 and 9,137.81 is: 12,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.81 : 22,893.94 = 9,137.81 : x
  2. Step 2: Convert to fraction form
    16,589.81/22,893.94 = 9,137.81/x
  3. Step 3: Cross multiply
    16,589.81x = 22,893.94 × 9,137.81
  4. Step 4: Simplify right side
    16,589.81x = 209,200,542.53
  5. Step 5: Solve for x
    x = 209,200,542.53/16,589.81
  6. Step 6: Final answer
    x = 12,610.18

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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.