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Finding the Fourth Proportional to 17,705.64, 26,546.02 and 7,839.56

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Solution

The fourth proportional to 17,705.64, 26,546.02 and 7,839.56 is: 11,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.64 : 26,546.02 = 7,839.56 : x
  2. Step 2: Convert to fraction form
    17,705.64/26,546.02 = 7,839.56/x
  3. Step 3: Cross multiply
    17,705.64x = 26,546.02 × 7,839.56
  4. Step 4: Simplify right side
    17,705.64x = 208,109,116.55
  5. Step 5: Solve for x
    x = 208,109,116.55/17,705.64
  6. Step 6: Final answer
    x = 11,753.83

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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.