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Finding the Fourth Proportional to 6,523.94, 9,769.20 and 3,599

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Solution

The fourth proportional to 6,523.94, 9,769.20 and 3,599 is: 5,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.94 : 9,769.20 = 3,599 : x
  2. Step 2: Convert to fraction form
    6,523.94/9,769.20 = 3,599/x
  3. Step 3: Cross multiply
    6,523.94x = 9,769.20 × 3,599
  4. Step 4: Simplify right side
    6,523.94x = 35,159,350.80
  5. Step 5: Solve for x
    x = 35,159,350.80/6,523.94
  6. Step 6: Final answer
    x = 5,389.28

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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.