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Finding the Fourth Proportional to 6,342.49, 9,513.79 and 2,832.67

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Solution

The fourth proportional to 6,342.49, 9,513.79 and 2,832.67 is: 4,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.49 : 9,513.79 = 2,832.67 : x
  2. Step 2: Convert to fraction form
    6,342.49/9,513.79 = 2,832.67/x
  3. Step 3: Cross multiply
    6,342.49x = 9,513.79 × 2,832.67
  4. Step 4: Simplify right side
    6,342.49x = 26,949,427.52
  5. Step 5: Solve for x
    x = 26,949,427.52/6,342.49
  6. Step 6: Final answer
    x = 4,249.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.