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Finding the Fourth Proportional to 8,669, 13,004.84 and 2,824.24

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Solution

The fourth proportional to 8,669, 13,004.84 and 2,824.24 is: 4,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669 : 13,004.84 = 2,824.24 : x
  2. Step 2: Convert to fraction form
    8,669/13,004.84 = 2,824.24/x
  3. Step 3: Cross multiply
    8,669x = 13,004.84 × 2,824.24
  4. Step 4: Simplify right side
    8,669x = 36,728,789.32
  5. Step 5: Solve for x
    x = 36,728,789.32/8,669
  6. Step 6: Final answer
    x = 4,236.80

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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.