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Finding the Fourth Proportional to 8,576.36, 11,841 and 5,747.42

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Solution

The fourth proportional to 8,576.36, 11,841 and 5,747.42 is: 7,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.36 : 11,841 = 5,747.42 : x
  2. Step 2: Convert to fraction form
    8,576.36/11,841 = 5,747.42/x
  3. Step 3: Cross multiply
    8,576.36x = 11,841 × 5,747.42
  4. Step 4: Simplify right side
    8,576.36x = 68,055,200.22
  5. Step 5: Solve for x
    x = 68,055,200.22/8,576.36
  6. Step 6: Final answer
    x = 7,935.21

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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.