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Finding the Fourth Proportional to 6,177, 8,524.29 and 3,524.38

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Solution

The fourth proportional to 6,177, 8,524.29 and 3,524.38 is: 4,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 8,524.29 = 3,524.38 : x
  2. Step 2: Convert to fraction form
    6,177/8,524.29 = 3,524.38/x
  3. Step 3: Cross multiply
    6,177x = 8,524.29 × 3,524.38
  4. Step 4: Simplify right side
    6,177x = 30,042,837.19
  5. Step 5: Solve for x
    x = 30,042,837.19/6,177
  6. Step 6: Final answer
    x = 4,863.66

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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.