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Finding the Fourth Proportional to 17,765.40, 26,657.70 and 7,906.20

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Solution

The fourth proportional to 17,765.40, 26,657.70 and 7,906.20 is: 11,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.40 : 26,657.70 = 7,906.20 : x
  2. Step 2: Convert to fraction form
    17,765.40/26,657.70 = 7,906.20/x
  3. Step 3: Cross multiply
    17,765.40x = 26,657.70 × 7,906.20
  4. Step 4: Simplify right side
    17,765.40x = 210,761,107.74
  5. Step 5: Solve for x
    x = 210,761,107.74/17,765.40
  6. Step 6: Final answer
    x = 11,863.57

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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.