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Finding the Fourth Proportional to 6,627.90, 9,146.38 and 3,643.71

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Solution

The fourth proportional to 6,627.90, 9,146.38 and 3,643.71 is: 5,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.90 : 9,146.38 = 3,643.71 : x
  2. Step 2: Convert to fraction form
    6,627.90/9,146.38 = 3,643.71/x
  3. Step 3: Cross multiply
    6,627.90x = 9,146.38 × 3,643.71
  4. Step 4: Simplify right side
    6,627.90x = 33,326,692.32
  5. Step 5: Solve for x
    x = 33,326,692.32/6,627.90
  6. Step 6: Final answer
    x = 5,028.24

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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.