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Finding the Fourth Proportional to 36,899.14, 55,348.92 and 9,197.14

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Solution

The fourth proportional to 36,899.14, 55,348.92 and 9,197.14 is: 13,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,899.14 : 55,348.92 = 9,197.14 : x
  2. Step 2: Convert to fraction form
    36,899.14/55,348.92 = 9,197.14/x
  3. Step 3: Cross multiply
    36,899.14x = 55,348.92 × 9,197.14
  4. Step 4: Simplify right side
    36,899.14x = 509,051,766.09
  5. Step 5: Solve for x
    x = 509,051,766.09/36,899.14
  6. Step 6: Final answer
    x = 13,795.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.