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Finding the Fourth Proportional to 6,285.46, 9,429.54 and 1,843.49

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Solution

The fourth proportional to 6,285.46, 9,429.54 and 1,843.49 is: 2,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.46 : 9,429.54 = 1,843.49 : x
  2. Step 2: Convert to fraction form
    6,285.46/9,429.54 = 1,843.49/x
  3. Step 3: Cross multiply
    6,285.46x = 9,429.54 × 1,843.49
  4. Step 4: Simplify right side
    6,285.46x = 17,383,215.55
  5. Step 5: Solve for x
    x = 17,383,215.55/6,285.46
  6. Step 6: Final answer
    x = 2,765.62

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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.