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Finding the Fourth Proportional to 6,846.30, 9,451.96 and 4,492.54

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Solution

The fourth proportional to 6,846.30, 9,451.96 and 4,492.54 is: 6,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.30 : 9,451.96 = 4,492.54 : x
  2. Step 2: Convert to fraction form
    6,846.30/9,451.96 = 4,492.54/x
  3. Step 3: Cross multiply
    6,846.30x = 9,451.96 × 4,492.54
  4. Step 4: Simplify right side
    6,846.30x = 42,463,308.38
  5. Step 5: Solve for x
    x = 42,463,308.38/6,846.30
  6. Step 6: Final answer
    x = 6,202.37

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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.