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Finding the Fourth Proportional to 6,334.86, 8,693.86 and 5,831.85

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Solution

The fourth proportional to 6,334.86, 8,693.86 and 5,831.85 is: 8,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.86 : 8,693.86 = 5,831.85 : x
  2. Step 2: Convert to fraction form
    6,334.86/8,693.86 = 5,831.85/x
  3. Step 3: Cross multiply
    6,334.86x = 8,693.86 × 5,831.85
  4. Step 4: Simplify right side
    6,334.86x = 50,701,280.02
  5. Step 5: Solve for x
    x = 50,701,280.02/6,334.86
  6. Step 6: Final answer
    x = 8,003.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.