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Finding the Fourth Proportional to 7,694.63, 11,533.68 and 3,995.94

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Solution

The fourth proportional to 7,694.63, 11,533.68 and 3,995.94 is: 5,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.63 : 11,533.68 = 3,995.94 : x
  2. Step 2: Convert to fraction form
    7,694.63/11,533.68 = 3,995.94/x
  3. Step 3: Cross multiply
    7,694.63x = 11,533.68 × 3,995.94
  4. Step 4: Simplify right side
    7,694.63x = 46,087,893.26
  5. Step 5: Solve for x
    x = 46,087,893.26/7,694.63
  6. Step 6: Final answer
    x = 5,989.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.