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Finding the Fourth Proportional to 6,277.22, 9,415.50 and 2,578.52

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Solution

The fourth proportional to 6,277.22, 9,415.50 and 2,578.52 is: 3,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.22 : 9,415.50 = 2,578.52 : x
  2. Step 2: Convert to fraction form
    6,277.22/9,415.50 = 2,578.52/x
  3. Step 3: Cross multiply
    6,277.22x = 9,415.50 × 2,578.52
  4. Step 4: Simplify right side
    6,277.22x = 24,278,055.06
  5. Step 5: Solve for x
    x = 24,278,055.06/6,277.22
  6. Step 6: Final answer
    x = 3,867.64

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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.