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Finding the Fourth Proportional to 6,598, 9,105.24 and 3,654

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Solution

The fourth proportional to 6,598, 9,105.24 and 3,654 is: 5,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 9,105.24 = 3,654 : x
  2. Step 2: Convert to fraction form
    6,598/9,105.24 = 3,654/x
  3. Step 3: Cross multiply
    6,598x = 9,105.24 × 3,654
  4. Step 4: Simplify right side
    6,598x = 33,270,546.96
  5. Step 5: Solve for x
    x = 33,270,546.96/6,598
  6. Step 6: Final answer
    x = 5,042.52

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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.