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Finding the Fourth Proportional to 6,365.96, 9,550.20 and 1,983.23

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Solution

The fourth proportional to 6,365.96, 9,550.20 and 1,983.23 is: 2,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.96 : 9,550.20 = 1,983.23 : x
  2. Step 2: Convert to fraction form
    6,365.96/9,550.20 = 1,983.23/x
  3. Step 3: Cross multiply
    6,365.96x = 9,550.20 × 1,983.23
  4. Step 4: Simplify right side
    6,365.96x = 18,940,243.15
  5. Step 5: Solve for x
    x = 18,940,243.15/6,365.96
  6. Step 6: Final answer
    x = 2,975.24

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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.