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Finding the Fourth Proportional to 6,195.24, 8,549.35 and 3,362.63

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Solution

The fourth proportional to 6,195.24, 8,549.35 and 3,362.63 is: 4,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.24 : 8,549.35 = 3,362.63 : x
  2. Step 2: Convert to fraction form
    6,195.24/8,549.35 = 3,362.63/x
  3. Step 3: Cross multiply
    6,195.24x = 8,549.35 × 3,362.63
  4. Step 4: Simplify right side
    6,195.24x = 28,748,249.64
  5. Step 5: Solve for x
    x = 28,748,249.64/6,195.24
  6. Step 6: Final answer
    x = 4,640.38

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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.