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Finding the Fourth Proportional to 6,293.86, 8,682.33 and 4,194.34

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Solution

The fourth proportional to 6,293.86, 8,682.33 and 4,194.34 is: 5,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.86 : 8,682.33 = 4,194.34 : x
  2. Step 2: Convert to fraction form
    6,293.86/8,682.33 = 4,194.34/x
  3. Step 3: Cross multiply
    6,293.86x = 8,682.33 × 4,194.34
  4. Step 4: Simplify right side
    6,293.86x = 36,416,644.01
  5. Step 5: Solve for x
    x = 36,416,644.01/6,293.86
  6. Step 6: Final answer
    x = 5,786.06

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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.