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Finding the Fourth Proportional to 5,975.31, 8,229.15 and 5,846.16

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Solution

The fourth proportional to 5,975.31, 8,229.15 and 5,846.16 is: 8,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.31 : 8,229.15 = 5,846.16 : x
  2. Step 2: Convert to fraction form
    5,975.31/8,229.15 = 5,846.16/x
  3. Step 3: Cross multiply
    5,975.31x = 8,229.15 × 5,846.16
  4. Step 4: Simplify right side
    5,975.31x = 48,108,927.56
  5. Step 5: Solve for x
    x = 48,108,927.56/5,975.31
  6. Step 6: Final answer
    x = 8,051.29

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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.