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Finding the Fourth Proportional to 6,098.02, 9,147.06 and 1,481.02

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Solution

The fourth proportional to 6,098.02, 9,147.06 and 1,481.02 is: 2,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.02 : 9,147.06 = 1,481.02 : x
  2. Step 2: Convert to fraction form
    6,098.02/9,147.06 = 1,481.02/x
  3. Step 3: Cross multiply
    6,098.02x = 9,147.06 × 1,481.02
  4. Step 4: Simplify right side
    6,098.02x = 13,546,978.80
  5. Step 5: Solve for x
    x = 13,546,978.80/6,098.02
  6. Step 6: Final answer
    x = 2,221.54

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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.