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Finding the Fourth Proportional to 7,034, 9,708 and 4,049.66

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Solution

The fourth proportional to 7,034, 9,708 and 4,049.66 is: 5,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034 : 9,708 = 4,049.66 : x
  2. Step 2: Convert to fraction form
    7,034/9,708 = 4,049.66/x
  3. Step 3: Cross multiply
    7,034x = 9,708 × 4,049.66
  4. Step 4: Simplify right side
    7,034x = 39,314,099.28
  5. Step 5: Solve for x
    x = 39,314,099.28/7,034
  6. Step 6: Final answer
    x = 5,589.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.