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Finding the Fourth Proportional to 6,946.90, 10,418.49 and 1,948.98

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Solution

The fourth proportional to 6,946.90, 10,418.49 and 1,948.98 is: 2,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.90 : 10,418.49 = 1,948.98 : x
  2. Step 2: Convert to fraction form
    6,946.90/10,418.49 = 1,948.98/x
  3. Step 3: Cross multiply
    6,946.90x = 10,418.49 × 1,948.98
  4. Step 4: Simplify right side
    6,946.90x = 20,305,428.64
  5. Step 5: Solve for x
    x = 20,305,428.64/6,946.90
  6. Step 6: Final answer
    x = 2,922.95

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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.