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Finding the Fourth Proportional to 16,589.63, 22,893.69 and 9,137.63

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Solution

The fourth proportional to 16,589.63, 22,893.69 and 9,137.63 is: 12,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.63 : 22,893.69 = 9,137.63 : x
  2. Step 2: Convert to fraction form
    16,589.63/22,893.69 = 9,137.63/x
  3. Step 3: Cross multiply
    16,589.63x = 22,893.69 × 9,137.63
  4. Step 4: Simplify right side
    16,589.63x = 209,193,954.09
  5. Step 5: Solve for x
    x = 209,193,954.09/16,589.63
  6. Step 6: Final answer
    x = 12,609.93

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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.