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Finding the Fourth Proportional to 6,931, 10,396.50 and 1,736.88

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Solution

The fourth proportional to 6,931, 10,396.50 and 1,736.88 is: 2,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931 : 10,396.50 = 1,736.88 : x
  2. Step 2: Convert to fraction form
    6,931/10,396.50 = 1,736.88/x
  3. Step 3: Cross multiply
    6,931x = 10,396.50 × 1,736.88
  4. Step 4: Simplify right side
    6,931x = 18,057,472.92
  5. Step 5: Solve for x
    x = 18,057,472.92/6,931
  6. Step 6: Final answer
    x = 2,605.32

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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.