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Finding the Fourth Proportional to 7,049.50, 10,574.43 and 2,369.68

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Solution

The fourth proportional to 7,049.50, 10,574.43 and 2,369.68 is: 3,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.50 : 10,574.43 = 2,369.68 : x
  2. Step 2: Convert to fraction form
    7,049.50/10,574.43 = 2,369.68/x
  3. Step 3: Cross multiply
    7,049.50x = 10,574.43 × 2,369.68
  4. Step 4: Simplify right side
    7,049.50x = 25,058,015.28
  5. Step 5: Solve for x
    x = 25,058,015.28/7,049.50
  6. Step 6: Final answer
    x = 3,554.58

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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.