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Finding the Fourth Proportional to 6,728.36, 10,089.50 and 2,048.94

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Solution

The fourth proportional to 6,728.36, 10,089.50 and 2,048.94 is: 3,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.36 : 10,089.50 = 2,048.94 : x
  2. Step 2: Convert to fraction form
    6,728.36/10,089.50 = 2,048.94/x
  3. Step 3: Cross multiply
    6,728.36x = 10,089.50 × 2,048.94
  4. Step 4: Simplify right side
    6,728.36x = 20,672,769.89
  5. Step 5: Solve for x
    x = 20,672,769.89/6,728.36
  6. Step 6: Final answer
    x = 3,072.49

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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.