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Finding the Fourth Proportional to 6,536.83, 9,804.06 and 1,918.75

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Solution

The fourth proportional to 6,536.83, 9,804.06 and 1,918.75 is: 2,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.83 : 9,804.06 = 1,918.75 : x
  2. Step 2: Convert to fraction form
    6,536.83/9,804.06 = 1,918.75/x
  3. Step 3: Cross multiply
    6,536.83x = 9,804.06 × 1,918.75
  4. Step 4: Simplify right side
    6,536.83x = 18,811,540.13
  5. Step 5: Solve for x
    x = 18,811,540.13/6,536.83
  6. Step 6: Final answer
    x = 2,877.78

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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.