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Finding the Fourth Proportional to 5,584.48, 8,381.84 and 5,563.56

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Solution

The fourth proportional to 5,584.48, 8,381.84 and 5,563.56 is: 8,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.48 : 8,381.84 = 5,563.56 : x
  2. Step 2: Convert to fraction form
    5,584.48/8,381.84 = 5,563.56/x
  3. Step 3: Cross multiply
    5,584.48x = 8,381.84 × 5,563.56
  4. Step 4: Simplify right side
    5,584.48x = 46,632,869.75
  5. Step 5: Solve for x
    x = 46,632,869.75/5,584.48
  6. Step 6: Final answer
    x = 8,350.44

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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.