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Finding the Fourth Proportional to 9,843.98, 14,760.54 and 6,727.50

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Solution

The fourth proportional to 9,843.98, 14,760.54 and 6,727.50 is: 10,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.98 : 14,760.54 = 6,727.50 : x
  2. Step 2: Convert to fraction form
    9,843.98/14,760.54 = 6,727.50/x
  3. Step 3: Cross multiply
    9,843.98x = 14,760.54 × 6,727.50
  4. Step 4: Simplify right side
    9,843.98x = 99,301,532.85
  5. Step 5: Solve for x
    x = 99,301,532.85/9,843.98
  6. Step 6: Final answer
    x = 10,087.54

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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.