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Finding the Fourth Proportional to 6,601.30, 9,901.77 and 1,984.30

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Solution

The fourth proportional to 6,601.30, 9,901.77 and 1,984.30 is: 2,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.30 : 9,901.77 = 1,984.30 : x
  2. Step 2: Convert to fraction form
    6,601.30/9,901.77 = 1,984.30/x
  3. Step 3: Cross multiply
    6,601.30x = 9,901.77 × 1,984.30
  4. Step 4: Simplify right side
    6,601.30x = 19,648,082.21
  5. Step 5: Solve for x
    x = 19,648,082.21/6,601.30
  6. Step 6: Final answer
    x = 2,976.40

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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.