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Finding the Fourth Proportional to 6,627.01, 9,145.44 and 3,643

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Solution

The fourth proportional to 6,627.01, 9,145.44 and 3,643 is: 5,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.01 : 9,145.44 = 3,643 : x
  2. Step 2: Convert to fraction form
    6,627.01/9,145.44 = 3,643/x
  3. Step 3: Cross multiply
    6,627.01x = 9,145.44 × 3,643
  4. Step 4: Simplify right side
    6,627.01x = 33,316,837.92
  5. Step 5: Solve for x
    x = 33,316,837.92/6,627.01
  6. Step 6: Final answer
    x = 5,027.43

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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.