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Finding the Fourth Proportional to 26,522.16, 39,778.92 and 8,054.16

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Solution

The fourth proportional to 26,522.16, 39,778.92 and 8,054.16 is: 12,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,522.16 : 39,778.92 = 8,054.16 : x
  2. Step 2: Convert to fraction form
    26,522.16/39,778.92 = 8,054.16/x
  3. Step 3: Cross multiply
    26,522.16x = 39,778.92 × 8,054.16
  4. Step 4: Simplify right side
    26,522.16x = 320,385,786.31
  5. Step 5: Solve for x
    x = 320,385,786.31/26,522.16
  6. Step 6: Final answer
    x = 12,079.93

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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.