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Finding the Fourth Proportional to 6,726.73, 9,290.16 and 4,498.03

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Solution

The fourth proportional to 6,726.73, 9,290.16 and 4,498.03 is: 6,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.73 : 9,290.16 = 4,498.03 : x
  2. Step 2: Convert to fraction form
    6,726.73/9,290.16 = 4,498.03/x
  3. Step 3: Cross multiply
    6,726.73x = 9,290.16 × 4,498.03
  4. Step 4: Simplify right side
    6,726.73x = 41,787,418.38
  5. Step 5: Solve for x
    x = 41,787,418.38/6,726.73
  6. Step 6: Final answer
    x = 6,212.14

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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.