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Finding the Fourth Proportional to 6,194.86, 8,550.48 and 3,835.74

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Solution

The fourth proportional to 6,194.86, 8,550.48 and 3,835.74 is: 5,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.86 : 8,550.48 = 3,835.74 : x
  2. Step 2: Convert to fraction form
    6,194.86/8,550.48 = 3,835.74/x
  3. Step 3: Cross multiply
    6,194.86x = 8,550.48 × 3,835.74
  4. Step 4: Simplify right side
    6,194.86x = 32,797,418.16
  5. Step 5: Solve for x
    x = 32,797,418.16/6,194.86
  6. Step 6: Final answer
    x = 5,294.30

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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.