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Finding the Fourth Proportional to 26,884, 37,093.86 and 16,271.38

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Solution

The fourth proportional to 26,884, 37,093.86 and 16,271.38 is: 22,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884 : 37,093.86 = 16,271.38 : x
  2. Step 2: Convert to fraction form
    26,884/37,093.86 = 16,271.38/x
  3. Step 3: Cross multiply
    26,884x = 37,093.86 × 16,271.38
  4. Step 4: Simplify right side
    26,884x = 603,568,291.73
  5. Step 5: Solve for x
    x = 603,568,291.73/26,884
  6. Step 6: Final answer
    x = 22,450.84

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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.