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Finding the Fourth Proportional to 8,150.64, 12,224.13 and 3,767.46

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Solution

The fourth proportional to 8,150.64, 12,224.13 and 3,767.46 is: 5,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.64 : 12,224.13 = 3,767.46 : x
  2. Step 2: Convert to fraction form
    8,150.64/12,224.13 = 3,767.46/x
  3. Step 3: Cross multiply
    8,150.64x = 12,224.13 × 3,767.46
  4. Step 4: Simplify right side
    8,150.64x = 46,053,920.81
  5. Step 5: Solve for x
    x = 46,053,920.81/8,150.64
  6. Step 6: Final answer
    x = 5,650.34

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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.