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Finding the Fourth Proportional to 6,628.06, 9,942.30 and 1,948.24

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Solution

The fourth proportional to 6,628.06, 9,942.30 and 1,948.24 is: 2,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.06 : 9,942.30 = 1,948.24 : x
  2. Step 2: Convert to fraction form
    6,628.06/9,942.30 = 1,948.24/x
  3. Step 3: Cross multiply
    6,628.06x = 9,942.30 × 1,948.24
  4. Step 4: Simplify right side
    6,628.06x = 19,369,986.55
  5. Step 5: Solve for x
    x = 19,369,986.55/6,628.06
  6. Step 6: Final answer
    x = 2,922.42

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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.