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Finding the Fourth Proportional to 6,214.54, 8,576.42 and 3,562.38

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Solution

The fourth proportional to 6,214.54, 8,576.42 and 3,562.38 is: 4,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.54 : 8,576.42 = 3,562.38 : x
  2. Step 2: Convert to fraction form
    6,214.54/8,576.42 = 3,562.38/x
  3. Step 3: Cross multiply
    6,214.54x = 8,576.42 × 3,562.38
  4. Step 4: Simplify right side
    6,214.54x = 30,552,467.08
  5. Step 5: Solve for x
    x = 30,552,467.08/6,214.54
  6. Step 6: Final answer
    x = 4,916.29

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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.