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Finding the Fourth Proportional to 6,034, 9,049.62 and 1,651.80

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Solution

The fourth proportional to 6,034, 9,049.62 and 1,651.80 is: 2,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034 : 9,049.62 = 1,651.80 : x
  2. Step 2: Convert to fraction form
    6,034/9,049.62 = 1,651.80/x
  3. Step 3: Cross multiply
    6,034x = 9,049.62 × 1,651.80
  4. Step 4: Simplify right side
    6,034x = 14,948,162.32
  5. Step 5: Solve for x
    x = 14,948,162.32/6,034
  6. Step 6: Final answer
    x = 2,477.32

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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.