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Finding the Fourth Proportional to 6,535.89, 9,798.31 and 2,835.33

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Solution

The fourth proportional to 6,535.89, 9,798.31 and 2,835.33 is: 4,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.89 : 9,798.31 = 2,835.33 : x
  2. Step 2: Convert to fraction form
    6,535.89/9,798.31 = 2,835.33/x
  3. Step 3: Cross multiply
    6,535.89x = 9,798.31 × 2,835.33
  4. Step 4: Simplify right side
    6,535.89x = 27,781,393.30
  5. Step 5: Solve for x
    x = 27,781,393.30/6,535.89
  6. Step 6: Final answer
    x = 4,250.59

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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.