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Finding the Fourth Proportional to 4,902.09, 6,764.94 and 2,663.97

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Solution

The fourth proportional to 4,902.09, 6,764.94 and 2,663.97 is: 3,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.09 : 6,764.94 = 2,663.97 : x
  2. Step 2: Convert to fraction form
    4,902.09/6,764.94 = 2,663.97/x
  3. Step 3: Cross multiply
    4,902.09x = 6,764.94 × 2,663.97
  4. Step 4: Simplify right side
    4,902.09x = 18,021,597.21
  5. Step 5: Solve for x
    x = 18,021,597.21/4,902.09
  6. Step 6: Final answer
    x = 3,676.31

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1.5x scale

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.