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Finding the Fourth Proportional to 6,499.85, 9,736.00 and 2,992.75

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Solution

The fourth proportional to 6,499.85, 9,736.00 and 2,992.75 is: 4,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.85 : 9,736.00 = 2,992.75 : x
  2. Step 2: Convert to fraction form
    6,499.85/9,736.00 = 2,992.75/x
  3. Step 3: Cross multiply
    6,499.85x = 9,736.00 × 2,992.75
  4. Step 4: Simplify right side
    6,499.85x = 29,137,382.18
  5. Step 5: Solve for x
    x = 29,137,382.18/6,499.85
  6. Step 6: Final answer
    x = 4,482.78

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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.