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Finding the Fourth Proportional to 6,914, 10,372.04 and 2,232.44

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Solution

The fourth proportional to 6,914, 10,372.04 and 2,232.44 is: 3,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 10,372.04 = 2,232.44 : x
  2. Step 2: Convert to fraction form
    6,914/10,372.04 = 2,232.44/x
  3. Step 3: Cross multiply
    6,914x = 10,372.04 × 2,232.44
  4. Step 4: Simplify right side
    6,914x = 23,154,956.98
  5. Step 5: Solve for x
    x = 23,154,956.98/6,914
  6. Step 6: Final answer
    x = 3,349.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.