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Finding the Fourth Proportional to 6,984.14, 9,638.26 and 3,797.60

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Solution

The fourth proportional to 6,984.14, 9,638.26 and 3,797.60 is: 5,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.14 : 9,638.26 = 3,797.60 : x
  2. Step 2: Convert to fraction form
    6,984.14/9,638.26 = 3,797.60/x
  3. Step 3: Cross multiply
    6,984.14x = 9,638.26 × 3,797.60
  4. Step 4: Simplify right side
    6,984.14x = 36,602,256.18
  5. Step 5: Solve for x
    x = 36,602,256.18/6,984.14
  6. Step 6: Final answer
    x = 5,240.77

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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.