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Finding the Fourth Proportional to 5,523.56, 8,288.07 and 4,069.16

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Solution

The fourth proportional to 5,523.56, 8,288.07 and 4,069.16 is: 6,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.56 : 8,288.07 = 4,069.16 : x
  2. Step 2: Convert to fraction form
    5,523.56/8,288.07 = 4,069.16/x
  3. Step 3: Cross multiply
    5,523.56x = 8,288.07 × 4,069.16
  4. Step 4: Simplify right side
    5,523.56x = 33,725,482.92
  5. Step 5: Solve for x
    x = 33,725,482.92/5,523.56
  6. Step 6: Final answer
    x = 6,105.75

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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.