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Finding the Fourth Proportional to 8,576, 11,818.85 and 6,181.83

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Solution

The fourth proportional to 8,576, 11,818.85 and 6,181.83 is: 8,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 11,818.85 = 6,181.83 : x
  2. Step 2: Convert to fraction form
    8,576/11,818.85 = 6,181.83/x
  3. Step 3: Cross multiply
    8,576x = 11,818.85 × 6,181.83
  4. Step 4: Simplify right side
    8,576x = 73,062,121.50
  5. Step 5: Solve for x
    x = 73,062,121.50/8,576
  6. Step 6: Final answer
    x = 8,519.37

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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.