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Finding the Fourth Proportional to 5,522.75, 7,624.22 and 4,260.98

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Solution

The fourth proportional to 5,522.75, 7,624.22 and 4,260.98 is: 5,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.75 : 7,624.22 = 4,260.98 : x
  2. Step 2: Convert to fraction form
    5,522.75/7,624.22 = 4,260.98/x
  3. Step 3: Cross multiply
    5,522.75x = 7,624.22 × 4,260.98
  4. Step 4: Simplify right side
    5,522.75x = 32,486,648.94
  5. Step 5: Solve for x
    x = 32,486,648.94/5,522.75
  6. Step 6: Final answer
    x = 5,882.33

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.