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Finding the Fourth Proportional to 26,546.16, 39,825.72 and 8,078.16

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Solution

The fourth proportional to 26,546.16, 39,825.72 and 8,078.16 is: 12,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.16 : 39,825.72 = 8,078.16 : x
  2. Step 2: Convert to fraction form
    26,546.16/39,825.72 = 8,078.16/x
  3. Step 3: Cross multiply
    26,546.16x = 39,825.72 × 8,078.16
  4. Step 4: Simplify right side
    26,546.16x = 321,718,538.28
  5. Step 5: Solve for x
    x = 321,718,538.28/26,546.16
  6. Step 6: Final answer
    x = 12,119.21

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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.