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Finding the Fourth Proportional to 6,187.81, 9,282.03 and 1,805.60

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Solution

The fourth proportional to 6,187.81, 9,282.03 and 1,805.60 is: 2,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.81 : 9,282.03 = 1,805.60 : x
  2. Step 2: Convert to fraction form
    6,187.81/9,282.03 = 1,805.60/x
  3. Step 3: Cross multiply
    6,187.81x = 9,282.03 × 1,805.60
  4. Step 4: Simplify right side
    6,187.81x = 16,759,633.37
  5. Step 5: Solve for x
    x = 16,759,633.37/6,187.81
  6. Step 6: Final answer
    x = 2,708.49

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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.