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Finding the Fourth Proportional to 6,098.00, 9,147.02 and 1,481.00

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Solution

The fourth proportional to 6,098.00, 9,147.02 and 1,481.00 is: 2,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.00 : 9,147.02 = 1,481.00 : x
  2. Step 2: Convert to fraction form
    6,098.00/9,147.02 = 1,481.00/x
  3. Step 3: Cross multiply
    6,098.00x = 9,147.02 × 1,481.00
  4. Step 4: Simplify right side
    6,098.00x = 13,546,683.48
  5. Step 5: Solve for x
    x = 13,546,683.48/6,098.00
  6. Step 6: Final answer
    x = 2,221.50

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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.