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Finding the Fourth Proportional to 6,598.05, 9,898.01 and 2,214.03

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Solution

The fourth proportional to 6,598.05, 9,898.01 and 2,214.03 is: 3,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.05 : 9,898.01 = 2,214.03 : x
  2. Step 2: Convert to fraction form
    6,598.05/9,898.01 = 2,214.03/x
  3. Step 3: Cross multiply
    6,598.05x = 9,898.01 × 2,214.03
  4. Step 4: Simplify right side
    6,598.05x = 21,914,480.01
  5. Step 5: Solve for x
    x = 21,914,480.01/6,598.05
  6. Step 6: Final answer
    x = 3,321.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.