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Finding the Fourth Proportional to 7,467.66, 11,199.10 and 2,469.10

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Solution

The fourth proportional to 7,467.66, 11,199.10 and 2,469.10 is: 3,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.66 : 11,199.10 = 2,469.10 : x
  2. Step 2: Convert to fraction form
    7,467.66/11,199.10 = 2,469.10/x
  3. Step 3: Cross multiply
    7,467.66x = 11,199.10 × 2,469.10
  4. Step 4: Simplify right side
    7,467.66x = 27,651,697.81
  5. Step 5: Solve for x
    x = 27,651,697.81/7,467.66
  6. Step 6: Final answer
    x = 3,702.86

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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.