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Finding the Fourth Proportional to 6,203.86, 9,255.47 and 5,695.83

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Solution

The fourth proportional to 6,203.86, 9,255.47 and 5,695.83 is: 8,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.86 : 9,255.47 = 5,695.83 : x
  2. Step 2: Convert to fraction form
    6,203.86/9,255.47 = 5,695.83/x
  3. Step 3: Cross multiply
    6,203.86x = 9,255.47 × 5,695.83
  4. Step 4: Simplify right side
    6,203.86x = 52,717,555.21
  5. Step 5: Solve for x
    x = 52,717,555.21/6,203.86
  6. Step 6: Final answer
    x = 8,497.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.