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Finding the Fourth Proportional to 7,161.67, 9,883.29 and 4,644.82

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Solution

The fourth proportional to 7,161.67, 9,883.29 and 4,644.82 is: 6,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.67 : 9,883.29 = 4,644.82 : x
  2. Step 2: Convert to fraction form
    7,161.67/9,883.29 = 4,644.82/x
  3. Step 3: Cross multiply
    7,161.67x = 9,883.29 × 4,644.82
  4. Step 4: Simplify right side
    7,161.67x = 45,906,103.06
  5. Step 5: Solve for x
    x = 45,906,103.06/7,161.67
  6. Step 6: Final answer
    x = 6,409.97

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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.