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Finding the Fourth Proportional to 8,176.31, 11,283.31 and 4,450.31

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Solution

The fourth proportional to 8,176.31, 11,283.31 and 4,450.31 is: 6,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.31 : 11,283.31 = 4,450.31 : x
  2. Step 2: Convert to fraction form
    8,176.31/11,283.31 = 4,450.31/x
  3. Step 3: Cross multiply
    8,176.31x = 11,283.31 × 4,450.31
  4. Step 4: Simplify right side
    8,176.31x = 50,214,261.10
  5. Step 5: Solve for x
    x = 50,214,261.10/8,176.31
  6. Step 6: Final answer
    x = 6,141.43

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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.