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Finding the Fourth Proportional to 6,741, 10,111.50 and 1,877

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Solution

The fourth proportional to 6,741, 10,111.50 and 1,877 is: 2,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741 : 10,111.50 = 1,877 : x
  2. Step 2: Convert to fraction form
    6,741/10,111.50 = 1,877/x
  3. Step 3: Cross multiply
    6,741x = 10,111.50 × 1,877
  4. Step 4: Simplify right side
    6,741x = 18,979,285.50
  5. Step 5: Solve for x
    x = 18,979,285.50/6,741
  6. Step 6: Final answer
    x = 2,815.50

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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.