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Finding the Fourth Proportional to 5,468.94, 8,204.49 and 2,006.22

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Solution

The fourth proportional to 5,468.94, 8,204.49 and 2,006.22 is: 3,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.94 : 8,204.49 = 2,006.22 : x
  2. Step 2: Convert to fraction form
    5,468.94/8,204.49 = 2,006.22/x
  3. Step 3: Cross multiply
    5,468.94x = 8,204.49 × 2,006.22
  4. Step 4: Simplify right side
    5,468.94x = 16,460,011.93
  5. Step 5: Solve for x
    x = 16,460,011.93/5,468.94
  6. Step 6: Final answer
    x = 3,009.73

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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.