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Finding the Fourth Proportional to 26,652.25, 39,978.38 and 8,184.25

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Solution

The fourth proportional to 26,652.25, 39,978.38 and 8,184.25 is: 12,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,652.25 : 39,978.38 = 8,184.25 : x
  2. Step 2: Convert to fraction form
    26,652.25/39,978.38 = 8,184.25/x
  3. Step 3: Cross multiply
    26,652.25x = 39,978.38 × 8,184.25
  4. Step 4: Simplify right side
    26,652.25x = 327,193,056.52
  5. Step 5: Solve for x
    x = 327,193,056.52/26,652.25
  6. Step 6: Final answer
    x = 12,276.38

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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.