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Finding the Fourth Proportional to 8,441.64, 11,649.43 and 4,664.81

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Solution

The fourth proportional to 8,441.64, 11,649.43 and 4,664.81 is: 6,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.64 : 11,649.43 = 4,664.81 : x
  2. Step 2: Convert to fraction form
    8,441.64/11,649.43 = 4,664.81/x
  3. Step 3: Cross multiply
    8,441.64x = 11,649.43 × 4,664.81
  4. Step 4: Simplify right side
    8,441.64x = 54,342,377.56
  5. Step 5: Solve for x
    x = 54,342,377.56/8,441.64
  6. Step 6: Final answer
    x = 6,437.42

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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.