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Finding the Fourth Proportional to 6,538.56, 9,807.75 and 1,608.24

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Solution

The fourth proportional to 6,538.56, 9,807.75 and 1,608.24 is: 2,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.56 : 9,807.75 = 1,608.24 : x
  2. Step 2: Convert to fraction form
    6,538.56/9,807.75 = 1,608.24/x
  3. Step 3: Cross multiply
    6,538.56x = 9,807.75 × 1,608.24
  4. Step 4: Simplify right side
    6,538.56x = 15,773,215.86
  5. Step 5: Solve for x
    x = 15,773,215.86/6,538.56
  6. Step 6: Final answer
    x = 2,412.34

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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.