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Finding the Fourth Proportional to 6,292.49, 8,676.32 and 5,231.49

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Solution

The fourth proportional to 6,292.49, 8,676.32 and 5,231.49 is: 7,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.49 : 8,676.32 = 5,231.49 : x
  2. Step 2: Convert to fraction form
    6,292.49/8,676.32 = 5,231.49/x
  3. Step 3: Cross multiply
    6,292.49x = 8,676.32 × 5,231.49
  4. Step 4: Simplify right side
    6,292.49x = 45,390,022.62
  5. Step 5: Solve for x
    x = 45,390,022.62/6,292.49
  6. Step 6: Final answer
    x = 7,213.37

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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.