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Finding the Fourth Proportional to 16,165.10, 22,309.71 and 9,093.80

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Solution

The fourth proportional to 16,165.10, 22,309.71 and 9,093.80 is: 12,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.10 : 22,309.71 = 9,093.80 : x
  2. Step 2: Convert to fraction form
    16,165.10/22,309.71 = 9,093.80/x
  3. Step 3: Cross multiply
    16,165.10x = 22,309.71 × 9,093.80
  4. Step 4: Simplify right side
    16,165.10x = 202,879,929.25
  5. Step 5: Solve for x
    x = 202,879,929.25/16,165.10
  6. Step 6: Final answer
    x = 12,550.49

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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.