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Finding the Fourth Proportional to 6,494.26, 9,719.52 and 4,020.52

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Solution

The fourth proportional to 6,494.26, 9,719.52 and 4,020.52 is: 6,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.26 : 9,719.52 = 4,020.52 : x
  2. Step 2: Convert to fraction form
    6,494.26/9,719.52 = 4,020.52/x
  3. Step 3: Cross multiply
    6,494.26x = 9,719.52 × 4,020.52
  4. Step 4: Simplify right side
    6,494.26x = 39,077,524.55
  5. Step 5: Solve for x
    x = 39,077,524.55/6,494.26
  6. Step 6: Final answer
    x = 6,017.24

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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.