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Finding the Fourth Proportional to 16,214.09, 22,375.40 and 8,762.09

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Solution

The fourth proportional to 16,214.09, 22,375.40 and 8,762.09 is: 12,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.09 : 22,375.40 = 8,762.09 : x
  2. Step 2: Convert to fraction form
    16,214.09/22,375.40 = 8,762.09/x
  3. Step 3: Cross multiply
    16,214.09x = 22,375.40 × 8,762.09
  4. Step 4: Simplify right side
    16,214.09x = 196,055,112.90
  5. Step 5: Solve for x
    x = 196,055,112.90/16,214.09
  6. Step 6: Final answer
    x = 12,091.65

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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.