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Finding the Fourth Proportional to 6,870.84, 10,306.44 and 1,941

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Solution

The fourth proportional to 6,870.84, 10,306.44 and 1,941 is: 2,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.84 : 10,306.44 = 1,941 : x
  2. Step 2: Convert to fraction form
    6,870.84/10,306.44 = 1,941/x
  3. Step 3: Cross multiply
    6,870.84x = 10,306.44 × 1,941
  4. Step 4: Simplify right side
    6,870.84x = 20,004,800.04
  5. Step 5: Solve for x
    x = 20,004,800.04/6,870.84
  6. Step 6: Final answer
    x = 2,911.55

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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.