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Finding the Fourth Proportional to 6,730.73, 9,287.94 and 4,212.73

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Solution

The fourth proportional to 6,730.73, 9,287.94 and 4,212.73 is: 5,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.73 : 9,287.94 = 4,212.73 : x
  2. Step 2: Convert to fraction form
    6,730.73/9,287.94 = 4,212.73/x
  3. Step 3: Cross multiply
    6,730.73x = 9,287.94 × 4,212.73
  4. Step 4: Simplify right side
    6,730.73x = 39,127,583.48
  5. Step 5: Solve for x
    x = 39,127,583.48/6,730.73
  6. Step 6: Final answer
    x = 5,813.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.