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Finding the Fourth Proportional to 13,205.86, 19,797.86 and 6,182.44

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Solution

The fourth proportional to 13,205.86, 19,797.86 and 6,182.44 is: 9,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.86 : 19,797.86 = 6,182.44 : x
  2. Step 2: Convert to fraction form
    13,205.86/19,797.86 = 6,182.44/x
  3. Step 3: Cross multiply
    13,205.86x = 19,797.86 × 6,182.44
  4. Step 4: Simplify right side
    13,205.86x = 122,399,081.58
  5. Step 5: Solve for x
    x = 122,399,081.58/13,205.86
  6. Step 6: Final answer
    x = 9,268.54

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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.