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Finding the Fourth Proportional to 6,495.09, 9,739.95 and 2,491.86

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Solution

The fourth proportional to 6,495.09, 9,739.95 and 2,491.86 is: 3,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.09 : 9,739.95 = 2,491.86 : x
  2. Step 2: Convert to fraction form
    6,495.09/9,739.95 = 2,491.86/x
  3. Step 3: Cross multiply
    6,495.09x = 9,739.95 × 2,491.86
  4. Step 4: Simplify right side
    6,495.09x = 24,270,591.81
  5. Step 5: Solve for x
    x = 24,270,591.81/6,495.09
  6. Step 6: Final answer
    x = 3,736.76

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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.