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Finding the Fourth Proportional to 8,506.48, 11,739.22 and 5,149.92

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Solution

The fourth proportional to 8,506.48, 11,739.22 and 5,149.92 is: 7,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.48 : 11,739.22 = 5,149.92 : x
  2. Step 2: Convert to fraction form
    8,506.48/11,739.22 = 5,149.92/x
  3. Step 3: Cross multiply
    8,506.48x = 11,739.22 × 5,149.92
  4. Step 4: Simplify right side
    8,506.48x = 60,456,043.86
  5. Step 5: Solve for x
    x = 60,456,043.86/8,506.48
  6. Step 6: Final answer
    x = 7,107.06

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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.