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Finding the Fourth Proportional to 6,970.44, 9,616.44 and 3,983.96

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Solution

The fourth proportional to 6,970.44, 9,616.44 and 3,983.96 is: 5,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.44 : 9,616.44 = 3,983.96 : x
  2. Step 2: Convert to fraction form
    6,970.44/9,616.44 = 3,983.96/x
  3. Step 3: Cross multiply
    6,970.44x = 9,616.44 × 3,983.96
  4. Step 4: Simplify right side
    6,970.44x = 38,311,512.30
  5. Step 5: Solve for x
    x = 38,311,512.30/6,970.44
  6. Step 6: Final answer
    x = 5,496.28

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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.