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Finding the Fourth Proportional to 6,771.81, 9,324.32 and 5,927.79

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Solution

The fourth proportional to 6,771.81, 9,324.32 and 5,927.79 is: 8,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.81 : 9,324.32 = 5,927.79 : x
  2. Step 2: Convert to fraction form
    6,771.81/9,324.32 = 5,927.79/x
  3. Step 3: Cross multiply
    6,771.81x = 9,324.32 × 5,927.79
  4. Step 4: Simplify right side
    6,771.81x = 55,272,610.85
  5. Step 5: Solve for x
    x = 55,272,610.85/6,771.81
  6. Step 6: Final answer
    x = 8,162.16

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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.