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Finding the Fourth Proportional to 7,058.26, 9,738.44 and 5,561.54

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Solution

The fourth proportional to 7,058.26, 9,738.44 and 5,561.54 is: 7,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.26 : 9,738.44 = 5,561.54 : x
  2. Step 2: Convert to fraction form
    7,058.26/9,738.44 = 5,561.54/x
  3. Step 3: Cross multiply
    7,058.26x = 9,738.44 × 5,561.54
  4. Step 4: Simplify right side
    7,058.26x = 54,160,723.60
  5. Step 5: Solve for x
    x = 54,160,723.60/7,058.26
  6. Step 6: Final answer
    x = 7,673.38

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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.