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Finding the Fourth Proportional to 7,024.76, 9,694.16 and 3,880.94

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Solution

The fourth proportional to 7,024.76, 9,694.16 and 3,880.94 is: 5,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.76 : 9,694.16 = 3,880.94 : x
  2. Step 2: Convert to fraction form
    7,024.76/9,694.16 = 3,880.94/x
  3. Step 3: Cross multiply
    7,024.76x = 9,694.16 × 3,880.94
  4. Step 4: Simplify right side
    7,024.76x = 37,622,453.31
  5. Step 5: Solve for x
    x = 37,622,453.31/7,024.76
  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.