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Finding the Fourth Proportional to 6,956.50, 10,434.74 and 1,762.78

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Solution

The fourth proportional to 6,956.50, 10,434.74 and 1,762.78 is: 2,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.50 : 10,434.74 = 1,762.78 : x
  2. Step 2: Convert to fraction form
    6,956.50/10,434.74 = 1,762.78/x
  3. Step 3: Cross multiply
    6,956.50x = 10,434.74 × 1,762.78
  4. Step 4: Simplify right side
    6,956.50x = 18,394,150.98
  5. Step 5: Solve for x
    x = 18,394,150.98/6,956.50
  6. Step 6: Final answer
    x = 2,644.17

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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.