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Finding the Fourth Proportional to 17,906.82, 26,852.92 and 7,775.84

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Solution

The fourth proportional to 17,906.82, 26,852.92 and 7,775.84 is: 11,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.82 : 26,852.92 = 7,775.84 : x
  2. Step 2: Convert to fraction form
    17,906.82/26,852.92 = 7,775.84/x
  3. Step 3: Cross multiply
    17,906.82x = 26,852.92 × 7,775.84
  4. Step 4: Simplify right side
    17,906.82x = 208,804,009.45
  5. Step 5: Solve for x
    x = 208,804,009.45/17,906.82
  6. Step 6: Final answer
    x = 11,660.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.