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Finding the Fourth Proportional to 5,467.86, 8,202.84 and 1,769.10

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Solution

The fourth proportional to 5,467.86, 8,202.84 and 1,769.10 is: 2,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.86 : 8,202.84 = 1,769.10 : x
  2. Step 2: Convert to fraction form
    5,467.86/8,202.84 = 1,769.10/x
  3. Step 3: Cross multiply
    5,467.86x = 8,202.84 × 1,769.10
  4. Step 4: Simplify right side
    5,467.86x = 14,511,644.24
  5. Step 5: Solve for x
    x = 14,511,644.24/5,467.86
  6. Step 6: Final answer
    x = 2,653.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.