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Finding the Fourth Proportional to 6,739.81, 10,109.81 and 1,809.07

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Solution

The fourth proportional to 6,739.81, 10,109.81 and 1,809.07 is: 2,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.81 : 10,109.81 = 1,809.07 : x
  2. Step 2: Convert to fraction form
    6,739.81/10,109.81 = 1,809.07/x
  3. Step 3: Cross multiply
    6,739.81x = 10,109.81 × 1,809.07
  4. Step 4: Simplify right side
    6,739.81x = 18,289,333.22
  5. Step 5: Solve for x
    x = 18,289,333.22/6,739.81
  6. Step 6: Final answer
    x = 2,713.63

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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.