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Finding the Fourth Proportional to 6,495.99, 9,736.69 and 3,211.39

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Solution

The fourth proportional to 6,495.99, 9,736.69 and 3,211.39 is: 4,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.99 : 9,736.69 = 3,211.39 : x
  2. Step 2: Convert to fraction form
    6,495.99/9,736.69 = 3,211.39/x
  3. Step 3: Cross multiply
    6,495.99x = 9,736.69 × 3,211.39
  4. Step 4: Simplify right side
    6,495.99x = 31,268,292.59
  5. Step 5: Solve for x
    x = 31,268,292.59/6,495.99
  6. Step 6: Final answer
    x = 4,813.48

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1.5x scale

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.