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Finding the Fourth Proportional to 6,847.74, 9,450 and 4,017.15

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Solution

The fourth proportional to 6,847.74, 9,450 and 4,017.15 is: 5,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.74 : 9,450 = 4,017.15 : x
  2. Step 2: Convert to fraction form
    6,847.74/9,450 = 4,017.15/x
  3. Step 3: Cross multiply
    6,847.74x = 9,450 × 4,017.15
  4. Step 4: Simplify right side
    6,847.74x = 37,962,067.50
  5. Step 5: Solve for x
    x = 37,962,067.50/6,847.74
  6. Step 6: Final answer
    x = 5,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.