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Finding the Fourth Proportional to 14,633.83, 20,194.54 and 7,919.31

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Solution

The fourth proportional to 14,633.83, 20,194.54 and 7,919.31 is: 10,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.83 : 20,194.54 = 7,919.31 : x
  2. Step 2: Convert to fraction form
    14,633.83/20,194.54 = 7,919.31/x
  3. Step 3: Cross multiply
    14,633.83x = 20,194.54 × 7,919.31
  4. Step 4: Simplify right side
    14,633.83x = 159,926,782.97
  5. Step 5: Solve for x
    x = 159,926,782.97/14,633.83
  6. Step 6: Final answer
    x = 10,928.57

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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.