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Finding the Fourth Proportional to 6,341, 9,511.32 and 1,957.82

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Solution

The fourth proportional to 6,341, 9,511.32 and 1,957.82 is: 2,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341 : 9,511.32 = 1,957.82 : x
  2. Step 2: Convert to fraction form
    6,341/9,511.32 = 1,957.82/x
  3. Step 3: Cross multiply
    6,341x = 9,511.32 × 1,957.82
  4. Step 4: Simplify right side
    6,341x = 18,621,452.52
  5. Step 5: Solve for x
    x = 18,621,452.52/6,341
  6. Step 6: Final answer
    x = 2,936.67

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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.