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Finding the Fourth Proportional to 6,505.64, 9,759.92 and 3,041

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Solution

The fourth proportional to 6,505.64, 9,759.92 and 3,041 is: 4,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.64 : 9,759.92 = 3,041 : x
  2. Step 2: Convert to fraction form
    6,505.64/9,759.92 = 3,041/x
  3. Step 3: Cross multiply
    6,505.64x = 9,759.92 × 3,041
  4. Step 4: Simplify right side
    6,505.64x = 29,679,916.72
  5. Step 5: Solve for x
    x = 29,679,916.72/6,505.64
  6. Step 6: Final answer
    x = 4,562.18

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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.