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Finding the Fourth Proportional to 6,506.43, 9,759.46 and 1,826.47

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Solution

The fourth proportional to 6,506.43, 9,759.46 and 1,826.47 is: 2,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.43 : 9,759.46 = 1,826.47 : x
  2. Step 2: Convert to fraction form
    6,506.43/9,759.46 = 1,826.47/x
  3. Step 3: Cross multiply
    6,506.43x = 9,759.46 × 1,826.47
  4. Step 4: Simplify right side
    6,506.43x = 17,825,404.55
  5. Step 5: Solve for x
    x = 17,825,404.55/6,506.43
  6. Step 6: Final answer
    x = 2,739.66

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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.