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Finding the Fourth Proportional to 6,049.04, 9,034.66 and 5,174.48

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Solution

The fourth proportional to 6,049.04, 9,034.66 and 5,174.48 is: 7,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.04 : 9,034.66 = 5,174.48 : x
  2. Step 2: Convert to fraction form
    6,049.04/9,034.66 = 5,174.48/x
  3. Step 3: Cross multiply
    6,049.04x = 9,034.66 × 5,174.48
  4. Step 4: Simplify right side
    6,049.04x = 46,749,667.48
  5. Step 5: Solve for x
    x = 46,749,667.48/6,049.04
  6. Step 6: Final answer
    x = 7,728.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.