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Finding the Fourth Proportional to 6,794.96, 10,233.26 and 5,982.20

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Solution

The fourth proportional to 6,794.96, 10,233.26 and 5,982.20 is: 9,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.96 : 10,233.26 = 5,982.20 : x
  2. Step 2: Convert to fraction form
    6,794.96/10,233.26 = 5,982.20/x
  3. Step 3: Cross multiply
    6,794.96x = 10,233.26 × 5,982.20
  4. Step 4: Simplify right side
    6,794.96x = 61,217,407.97
  5. Step 5: Solve for x
    x = 61,217,407.97/6,794.96
  6. Step 6: Final answer
    x = 9,009.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.