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Finding the Fourth Proportional to 6,507.38, 9,761.09 and 1,577.01

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Solution

The fourth proportional to 6,507.38, 9,761.09 and 1,577.01 is: 2,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.38 : 9,761.09 = 1,577.01 : x
  2. Step 2: Convert to fraction form
    6,507.38/9,761.09 = 1,577.01/x
  3. Step 3: Cross multiply
    6,507.38x = 9,761.09 × 1,577.01
  4. Step 4: Simplify right side
    6,507.38x = 15,393,336.54
  5. Step 5: Solve for x
    x = 15,393,336.54/6,507.38
  6. Step 6: Final answer
    x = 2,365.52

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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.