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Finding the Fourth Proportional to 7,662.50, 11,491.52 and 3,500.30

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Solution

The fourth proportional to 7,662.50, 11,491.52 and 3,500.30 is: 5,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.50 : 11,491.52 = 3,500.30 : x
  2. Step 2: Convert to fraction form
    7,662.50/11,491.52 = 3,500.30/x
  3. Step 3: Cross multiply
    7,662.50x = 11,491.52 × 3,500.30
  4. Step 4: Simplify right side
    7,662.50x = 40,223,767.46
  5. Step 5: Solve for x
    x = 40,223,767.46/7,662.50
  6. Step 6: Final answer
    x = 5,249.43

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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.