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Finding the Fourth Proportional to 6,877, 10,317.30 and 2,260

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Solution

The fourth proportional to 6,877, 10,317.30 and 2,260 is: 3,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877 : 10,317.30 = 2,260 : x
  2. Step 2: Convert to fraction form
    6,877/10,317.30 = 2,260/x
  3. Step 3: Cross multiply
    6,877x = 10,317.30 × 2,260
  4. Step 4: Simplify right side
    6,877x = 23,317,098
  5. Step 5: Solve for x
    x = 23,317,098/6,877
  6. Step 6: Final answer
    x = 3,390.59

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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.