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Finding the Fourth Proportional to 6,735.54, 9,292.49 and 4,081.98

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Solution

The fourth proportional to 6,735.54, 9,292.49 and 4,081.98 is: 5,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.54 : 9,292.49 = 4,081.98 : x
  2. Step 2: Convert to fraction form
    6,735.54/9,292.49 = 4,081.98/x
  3. Step 3: Cross multiply
    6,735.54x = 9,292.49 × 4,081.98
  4. Step 4: Simplify right side
    6,735.54x = 37,931,803.38
  5. Step 5: Solve for x
    x = 37,931,803.38/6,735.54
  6. Step 6: Final answer
    x = 5,631.59

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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.