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Finding the Fourth Proportional to 6,177, 8,524.32 and 3,693

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Solution

The fourth proportional to 6,177, 8,524.32 and 3,693 is: 5,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 8,524.32 = 3,693 : x
  2. Step 2: Convert to fraction form
    6,177/8,524.32 = 3,693/x
  3. Step 3: Cross multiply
    6,177x = 8,524.32 × 3,693
  4. Step 4: Simplify right side
    6,177x = 31,480,313.76
  5. Step 5: Solve for x
    x = 31,480,313.76/6,177
  6. Step 6: Final answer
    x = 5,096.38

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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.