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Finding the Fourth Proportional to 6,185.06, 9,279.10 and 1,802.56

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Solution

The fourth proportional to 6,185.06, 9,279.10 and 1,802.56 is: 2,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.06 : 9,279.10 = 1,802.56 : x
  2. Step 2: Convert to fraction form
    6,185.06/9,279.10 = 1,802.56/x
  3. Step 3: Cross multiply
    6,185.06x = 9,279.10 × 1,802.56
  4. Step 4: Simplify right side
    6,185.06x = 16,726,134.50
  5. Step 5: Solve for x
    x = 16,726,134.50/6,185.06
  6. Step 6: Final answer
    x = 2,704.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.