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Finding the Fourth Proportional to 6,841, 10,262.94 and 2,737

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Solution

The fourth proportional to 6,841, 10,262.94 and 2,737 is: 4,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841 : 10,262.94 = 2,737 : x
  2. Step 2: Convert to fraction form
    6,841/10,262.94 = 2,737/x
  3. Step 3: Cross multiply
    6,841x = 10,262.94 × 2,737
  4. Step 4: Simplify right side
    6,841x = 28,089,666.78
  5. Step 5: Solve for x
    x = 28,089,666.78/6,841
  6. Step 6: Final answer
    x = 4,106.08

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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.