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Finding the Fourth Proportional to 6,367.14, 9,550.74 and 1,984.68

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Solution

The fourth proportional to 6,367.14, 9,550.74 and 1,984.68 is: 2,977.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.14 : 9,550.74 = 1,984.68 : x
  2. Step 2: Convert to fraction form
    6,367.14/9,550.74 = 1,984.68/x
  3. Step 3: Cross multiply
    6,367.14x = 9,550.74 × 1,984.68
  4. Step 4: Simplify right side
    6,367.14x = 18,955,162.66
  5. Step 5: Solve for x
    x = 18,955,162.66/6,367.14
  6. Step 6: Final answer
    x = 2,977.03

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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.