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Finding the Fourth Proportional to 6,536.16, 9,798.73 and 2,835.61

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Solution

The fourth proportional to 6,536.16, 9,798.73 and 2,835.61 is: 4,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.16 : 9,798.73 = 2,835.61 : x
  2. Step 2: Convert to fraction form
    6,536.16/9,798.73 = 2,835.61/x
  3. Step 3: Cross multiply
    6,536.16x = 9,798.73 × 2,835.61
  4. Step 4: Simplify right side
    6,536.16x = 27,785,353.16
  5. Step 5: Solve for x
    x = 27,785,353.16/6,536.16
  6. Step 6: Final answer
    x = 4,251.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.