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Finding the Fourth Proportional to 6,889.97, 9,507.96 and 3,906.08

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Solution

The fourth proportional to 6,889.97, 9,507.96 and 3,906.08 is: 5,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.97 : 9,507.96 = 3,906.08 : x
  2. Step 2: Convert to fraction form
    6,889.97/9,507.96 = 3,906.08/x
  3. Step 3: Cross multiply
    6,889.97x = 9,507.96 × 3,906.08
  4. Step 4: Simplify right side
    6,889.97x = 37,138,852.40
  5. Step 5: Solve for x
    x = 37,138,852.40/6,889.97
  6. Step 6: Final answer
    x = 5,390.28

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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.