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Finding the Fourth Proportional to 6,532.23, 9,791.06 and 2,828.91

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Solution

The fourth proportional to 6,532.23, 9,791.06 and 2,828.91 is: 4,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.23 : 9,791.06 = 2,828.91 : x
  2. Step 2: Convert to fraction form
    6,532.23/9,791.06 = 2,828.91/x
  3. Step 3: Cross multiply
    6,532.23x = 9,791.06 × 2,828.91
  4. Step 4: Simplify right side
    6,532.23x = 27,698,027.54
  5. Step 5: Solve for x
    x = 27,698,027.54/6,532.23
  6. Step 6: Final answer
    x = 4,240.21

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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.