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Finding the Fourth Proportional to 5,468.41, 8,200.54 and 1,769.65

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Solution

The fourth proportional to 5,468.41, 8,200.54 and 1,769.65 is: 2,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.41 : 8,200.54 = 1,769.65 : x
  2. Step 2: Convert to fraction form
    5,468.41/8,200.54 = 1,769.65/x
  3. Step 3: Cross multiply
    5,468.41x = 8,200.54 × 1,769.65
  4. Step 4: Simplify right side
    5,468.41x = 14,512,067.32
  5. Step 5: Solve for x
    x = 14,512,067.32/5,468.41
  6. Step 6: Final answer
    x = 2,653.80

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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.