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Finding the Fourth Proportional to 6,923.32, 10,384.99 and 1,729.19

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Solution

The fourth proportional to 6,923.32, 10,384.99 and 1,729.19 is: 2,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.32 : 10,384.99 = 1,729.19 : x
  2. Step 2: Convert to fraction form
    6,923.32/10,384.99 = 1,729.19/x
  3. Step 3: Cross multiply
    6,923.32x = 10,384.99 × 1,729.19
  4. Step 4: Simplify right side
    6,923.32x = 17,957,642.50
  5. Step 5: Solve for x
    x = 17,957,642.50/6,923.32
  6. Step 6: Final answer
    x = 2,593.79

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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.