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Finding the Fourth Proportional to 26,546.04, 39,825 and 7,825.86

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Solution

The fourth proportional to 26,546.04, 39,825 and 7,825.86 is: 11,740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.04 : 39,825 = 7,825.86 : x
  2. Step 2: Convert to fraction form
    26,546.04/39,825 = 7,825.86/x
  3. Step 3: Cross multiply
    26,546.04x = 39,825 × 7,825.86
  4. Step 4: Simplify right side
    26,546.04x = 311,664,874.50
  5. Step 5: Solve for x
    x = 311,664,874.50/26,546.04
  6. Step 6: Final answer
    x = 11,740.54

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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.