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Finding the Fourth Proportional to 6,019.51, 9,029.67 and 1,636.87

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Solution

The fourth proportional to 6,019.51, 9,029.67 and 1,636.87 is: 2,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.51 : 9,029.67 = 1,636.87 : x
  2. Step 2: Convert to fraction form
    6,019.51/9,029.67 = 1,636.87/x
  3. Step 3: Cross multiply
    6,019.51x = 9,029.67 × 1,636.87
  4. Step 4: Simplify right side
    6,019.51x = 14,780,395.93
  5. Step 5: Solve for x
    x = 14,780,395.93/6,019.51
  6. Step 6: Final answer
    x = 2,455.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.