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Finding the Fourth Proportional to 6,954.48, 10,433.46 and 2,024

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Solution

The fourth proportional to 6,954.48, 10,433.46 and 2,024 is: 3,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.48 : 10,433.46 = 2,024 : x
  2. Step 2: Convert to fraction form
    6,954.48/10,433.46 = 2,024/x
  3. Step 3: Cross multiply
    6,954.48x = 10,433.46 × 2,024
  4. Step 4: Simplify right side
    6,954.48x = 21,117,323.04
  5. Step 5: Solve for x
    x = 21,117,323.04/6,954.48
  6. Step 6: Final answer
    x = 3,036.51

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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.