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Finding the Fourth Proportional to 7,624.62, 11,422.14 and 5,619.67

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Solution

The fourth proportional to 7,624.62, 11,422.14 and 5,619.67 is: 8,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.62 : 11,422.14 = 5,619.67 : x
  2. Step 2: Convert to fraction form
    7,624.62/11,422.14 = 5,619.67/x
  3. Step 3: Cross multiply
    7,624.62x = 11,422.14 × 5,619.67
  4. Step 4: Simplify right side
    7,624.62x = 64,188,657.49
  5. Step 5: Solve for x
    x = 64,188,657.49/7,624.62
  6. Step 6: Final answer
    x = 8,418.60

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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.