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Finding the Fourth Proportional to 5,917.70, 8,163.94 and 4,150.46

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Solution

The fourth proportional to 5,917.70, 8,163.94 and 4,150.46 is: 5,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.70 : 8,163.94 = 4,150.46 : x
  2. Step 2: Convert to fraction form
    5,917.70/8,163.94 = 4,150.46/x
  3. Step 3: Cross multiply
    5,917.70x = 8,163.94 × 4,150.46
  4. Step 4: Simplify right side
    5,917.70x = 33,884,055.22
  5. Step 5: Solve for x
    x = 33,884,055.22/5,917.70
  6. Step 6: Final answer
    x = 5,725.89

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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.