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Finding the Fourth Proportional to 9,230.90, 13,843.22 and 2,989.22

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Solution

The fourth proportional to 9,230.90, 13,843.22 and 2,989.22 is: 4,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.90 : 13,843.22 = 2,989.22 : x
  2. Step 2: Convert to fraction form
    9,230.90/13,843.22 = 2,989.22/x
  3. Step 3: Cross multiply
    9,230.90x = 13,843.22 × 2,989.22
  4. Step 4: Simplify right side
    9,230.90x = 41,380,345.93
  5. Step 5: Solve for x
    x = 41,380,345.93/9,230.90
  6. Step 6: Final answer
    x = 4,482.81

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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.