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Finding the Fourth Proportional to 6,072.98, 9,109.67 and 1,690.07

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Solution

The fourth proportional to 6,072.98, 9,109.67 and 1,690.07 is: 2,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.98 : 9,109.67 = 1,690.07 : x
  2. Step 2: Convert to fraction form
    6,072.98/9,109.67 = 1,690.07/x
  3. Step 3: Cross multiply
    6,072.98x = 9,109.67 × 1,690.07
  4. Step 4: Simplify right side
    6,072.98x = 15,395,925.98
  5. Step 5: Solve for x
    x = 15,395,925.98/6,072.98
  6. Step 6: Final answer
    x = 2,535.15

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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.