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Finding the Fourth Proportional to 6,019.01, 9,028.97 and 1,636.50

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Solution

The fourth proportional to 6,019.01, 9,028.97 and 1,636.50 is: 2,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.01 : 9,028.97 = 1,636.50 : x
  2. Step 2: Convert to fraction form
    6,019.01/9,028.97 = 1,636.50/x
  3. Step 3: Cross multiply
    6,019.01x = 9,028.97 × 1,636.50
  4. Step 4: Simplify right side
    6,019.01x = 14,775,941.22
  5. Step 5: Solve for x
    x = 14,775,941.22/6,019.01
  6. Step 6: Final answer
    x = 2,454.88

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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.