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Finding the Fourth Proportional to 6,311.97, 9,467.73 and 1,929.45

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Solution

The fourth proportional to 6,311.97, 9,467.73 and 1,929.45 is: 2,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.97 : 9,467.73 = 1,929.45 : x
  2. Step 2: Convert to fraction form
    6,311.97/9,467.73 = 1,929.45/x
  3. Step 3: Cross multiply
    6,311.97x = 9,467.73 × 1,929.45
  4. Step 4: Simplify right side
    6,311.97x = 18,267,511.65
  5. Step 5: Solve for x
    x = 18,267,511.65/6,311.97
  6. Step 6: Final answer
    x = 2,894.11

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1.5x scale

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.