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Finding the Fourth Proportional to 14,634.01, 20,194.77 and 7,919.49

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Solution

The fourth proportional to 14,634.01, 20,194.77 and 7,919.49 is: 10,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.01 : 20,194.77 = 7,919.49 : x
  2. Step 2: Convert to fraction form
    14,634.01/20,194.77 = 7,919.49/x
  3. Step 3: Cross multiply
    14,634.01x = 20,194.77 × 7,919.49
  4. Step 4: Simplify right side
    14,634.01x = 159,932,178.09
  5. Step 5: Solve for x
    x = 159,932,178.09/14,634.01
  6. Step 6: Final answer
    x = 10,928.80

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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.