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Finding the Fourth Proportional to 4,161.96, 6,238.23 and 1,693.68

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Solution

The fourth proportional to 4,161.96, 6,238.23 and 1,693.68 is: 2,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.96 : 6,238.23 = 1,693.68 : x
  2. Step 2: Convert to fraction form
    4,161.96/6,238.23 = 1,693.68/x
  3. Step 3: Cross multiply
    4,161.96x = 6,238.23 × 1,693.68
  4. Step 4: Simplify right side
    4,161.96x = 10,565,565.39
  5. Step 5: Solve for x
    x = 10,565,565.39/4,161.96
  6. Step 6: Final answer
    x = 2,538.60

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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.