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Finding the Fourth Proportional to 7,024.68, 9,694.17 and 3,880.89

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Solution

The fourth proportional to 7,024.68, 9,694.17 and 3,880.89 is: 5,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.68 : 9,694.17 = 3,880.89 : x
  2. Step 2: Convert to fraction form
    7,024.68/9,694.17 = 3,880.89/x
  3. Step 3: Cross multiply
    7,024.68x = 9,694.17 × 3,880.89
  4. Step 4: Simplify right side
    7,024.68x = 37,622,007.41
  5. Step 5: Solve for x
    x = 37,622,007.41/7,024.68
  6. Step 6: Final answer
    x = 5,355.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.