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Finding the Fourth Proportional to 6,935.64, 9,571.41 and 3,951.60

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Solution

The fourth proportional to 6,935.64, 9,571.41 and 3,951.60 is: 5,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.64 : 9,571.41 = 3,951.60 : x
  2. Step 2: Convert to fraction form
    6,935.64/9,571.41 = 3,951.60/x
  3. Step 3: Cross multiply
    6,935.64x = 9,571.41 × 3,951.60
  4. Step 4: Simplify right side
    6,935.64x = 37,822,383.76
  5. Step 5: Solve for x
    x = 37,822,383.76/6,935.64
  6. Step 6: Final answer
    x = 5,453.34

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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.