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Finding the Fourth Proportional to 6,538.19, 9,801 and 4,191.62

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Solution

The fourth proportional to 6,538.19, 9,801 and 4,191.62 is: 6,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.19 : 9,801 = 4,191.62 : x
  2. Step 2: Convert to fraction form
    6,538.19/9,801 = 4,191.62/x
  3. Step 3: Cross multiply
    6,538.19x = 9,801 × 4,191.62
  4. Step 4: Simplify right side
    6,538.19x = 41,082,018.62
  5. Step 5: Solve for x
    x = 41,082,018.62/6,538.19
  6. Step 6: Final answer
    x = 6,283.40

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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.