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Finding the Fourth Proportional to 9,843.54, 14,760.48 and 3,267.54

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Solution

The fourth proportional to 9,843.54, 14,760.48 and 3,267.54 is: 4,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.54 : 14,760.48 = 3,267.54 : x
  2. Step 2: Convert to fraction form
    9,843.54/14,760.48 = 3,267.54/x
  3. Step 3: Cross multiply
    9,843.54x = 14,760.48 × 3,267.54
  4. Step 4: Simplify right side
    9,843.54x = 48,230,458.82
  5. Step 5: Solve for x
    x = 48,230,458.82/9,843.54
  6. Step 6: Final answer
    x = 4,899.71

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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.