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Finding the Fourth Proportional to 6,634.70, 9,948.63 and 1,954.10

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Solution

The fourth proportional to 6,634.70, 9,948.63 and 1,954.10 is: 2,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.70 : 9,948.63 = 1,954.10 : x
  2. Step 2: Convert to fraction form
    6,634.70/9,948.63 = 1,954.10/x
  3. Step 3: Cross multiply
    6,634.70x = 9,948.63 × 1,954.10
  4. Step 4: Simplify right side
    6,634.70x = 19,440,608.11
  5. Step 5: Solve for x
    x = 19,440,608.11/6,634.70
  6. Step 6: Final answer
    x = 2,930.14

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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.