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Finding the Fourth Proportional to 26,714.25, 40,071.92 and 8,246.25

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Solution

The fourth proportional to 26,714.25, 40,071.92 and 8,246.25 is: 12,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,714.25 : 40,071.92 = 8,246.25 : x
  2. Step 2: Convert to fraction form
    26,714.25/40,071.92 = 8,246.25/x
  3. Step 3: Cross multiply
    26,714.25x = 40,071.92 × 8,246.25
  4. Step 4: Simplify right side
    26,714.25x = 330,443,029.07
  5. Step 5: Solve for x
    x = 330,443,029.07/26,714.25
  6. Step 6: Final answer
    x = 12,369.54

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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.