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Finding the Fourth Proportional to 6,507.67, 9,761.42 and 1,577.35

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Solution

The fourth proportional to 6,507.67, 9,761.42 and 1,577.35 is: 2,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.67 : 9,761.42 = 1,577.35 : x
  2. Step 2: Convert to fraction form
    6,507.67/9,761.42 = 1,577.35/x
  3. Step 3: Cross multiply
    6,507.67x = 9,761.42 × 1,577.35
  4. Step 4: Simplify right side
    6,507.67x = 15,397,180.15
  5. Step 5: Solve for x
    x = 15,397,180.15/6,507.67
  6. Step 6: Final answer
    x = 2,366.01

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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.