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Finding the Fourth Proportional to 6,074.02, 9,109.74 and 1,690.30

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Solution

The fourth proportional to 6,074.02, 9,109.74 and 1,690.30 is: 2,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.02 : 9,109.74 = 1,690.30 : x
  2. Step 2: Convert to fraction form
    6,074.02/9,109.74 = 1,690.30/x
  3. Step 3: Cross multiply
    6,074.02x = 9,109.74 × 1,690.30
  4. Step 4: Simplify right side
    6,074.02x = 15,398,193.52
  5. Step 5: Solve for x
    x = 15,398,193.52/6,074.02
  6. Step 6: Final answer
    x = 2,535.09

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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.