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Finding the Fourth Proportional to 7,581.76, 11,375.22 and 4,626.12

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Solution

The fourth proportional to 7,581.76, 11,375.22 and 4,626.12 is: 6,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.76 : 11,375.22 = 4,626.12 : x
  2. Step 2: Convert to fraction form
    7,581.76/11,375.22 = 4,626.12/x
  3. Step 3: Cross multiply
    7,581.76x = 11,375.22 × 4,626.12
  4. Step 4: Simplify right side
    7,581.76x = 52,623,132.75
  5. Step 5: Solve for x
    x = 52,623,132.75/7,581.76
  6. Step 6: Final answer
    x = 6,940.75

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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.