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Finding the Fourth Proportional to 9,983.48, 13,768.44 and 7,993.31

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Solution

The fourth proportional to 9,983.48, 13,768.44 and 7,993.31 is: 11,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.48 : 13,768.44 = 7,993.31 : x
  2. Step 2: Convert to fraction form
    9,983.48/13,768.44 = 7,993.31/x
  3. Step 3: Cross multiply
    9,983.48x = 13,768.44 × 7,993.31
  4. Step 4: Simplify right side
    9,983.48x = 110,055,340.29
  5. Step 5: Solve for x
    x = 110,055,340.29/9,983.48
  6. Step 6: Final answer
    x = 11,023.75

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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.