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Finding the Fourth Proportional to 9,321.96, 13,983.84 and 3,400.44

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Solution

The fourth proportional to 9,321.96, 13,983.84 and 3,400.44 is: 5,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.96 : 13,983.84 = 3,400.44 : x
  2. Step 2: Convert to fraction form
    9,321.96/13,983.84 = 3,400.44/x
  3. Step 3: Cross multiply
    9,321.96x = 13,983.84 × 3,400.44
  4. Step 4: Simplify right side
    9,321.96x = 47,551,208.89
  5. Step 5: Solve for x
    x = 47,551,208.89/9,321.96
  6. Step 6: Final answer
    x = 5,100.99

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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.