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Finding the Fourth Proportional to 8,447.64, 11,654.89 and 5,467.24

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Solution

The fourth proportional to 8,447.64, 11,654.89 and 5,467.24 is: 7,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.64 : 11,654.89 = 5,467.24 : x
  2. Step 2: Convert to fraction form
    8,447.64/11,654.89 = 5,467.24/x
  3. Step 3: Cross multiply
    8,447.64x = 11,654.89 × 5,467.24
  4. Step 4: Simplify right side
    8,447.64x = 63,720,080.80
  5. Step 5: Solve for x
    x = 63,720,080.80/8,447.64
  6. Step 6: Final answer
    x = 7,542.94

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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.