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Finding the Fourth Proportional to 17,842.32, 26,763.78 and 6,754.22

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Solution

The fourth proportional to 17,842.32, 26,763.78 and 6,754.22 is: 10,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.32 : 26,763.78 = 6,754.22 : x
  2. Step 2: Convert to fraction form
    17,842.32/26,763.78 = 6,754.22/x
  3. Step 3: Cross multiply
    17,842.32x = 26,763.78 × 6,754.22
  4. Step 4: Simplify right side
    17,842.32x = 180,768,458.15
  5. Step 5: Solve for x
    x = 180,768,458.15/17,842.32
  6. Step 6: Final answer
    x = 10,131.44

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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.