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Finding the Fourth Proportional to 6,906.26, 9,533.84 and 4,072.68

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Solution

The fourth proportional to 6,906.26, 9,533.84 and 4,072.68 is: 5,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.26 : 9,533.84 = 4,072.68 : x
  2. Step 2: Convert to fraction form
    6,906.26/9,533.84 = 4,072.68/x
  3. Step 3: Cross multiply
    6,906.26x = 9,533.84 × 4,072.68
  4. Step 4: Simplify right side
    6,906.26x = 38,828,259.13
  5. Step 5: Solve for x
    x = 38,828,259.13/6,906.26
  6. Step 6: Final answer
    x = 5,622.18

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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.