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Finding the Fourth Proportional to 9,843.12, 14,770.08 and 3,998.16

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Solution

The fourth proportional to 9,843.12, 14,770.08 and 3,998.16 is: 5,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.12 : 14,770.08 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    9,843.12/14,770.08 = 3,998.16/x
  3. Step 3: Cross multiply
    9,843.12x = 14,770.08 × 3,998.16
  4. Step 4: Simplify right side
    9,843.12x = 59,053,143.05
  5. Step 5: Solve for x
    x = 59,053,143.05/9,843.12
  6. Step 6: Final answer
    x = 5,999.43

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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.