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Finding the Fourth Proportional to 8,441.24, 11,649.24 and 4,664.60

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Solution

The fourth proportional to 8,441.24, 11,649.24 and 4,664.60 is: 6,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.24 : 11,649.24 = 4,664.60 : x
  2. Step 2: Convert to fraction form
    8,441.24/11,649.24 = 4,664.60/x
  3. Step 3: Cross multiply
    8,441.24x = 11,649.24 × 4,664.60
  4. Step 4: Simplify right side
    8,441.24x = 54,339,044.90
  5. Step 5: Solve for x
    x = 54,339,044.90/8,441.24
  6. Step 6: Final answer
    x = 6,437.33

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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.