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Finding the Fourth Proportional to 26,783.67, 36,957.58 and 14,847

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Solution

The fourth proportional to 26,783.67, 36,957.58 and 14,847 is: 20,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.67 : 36,957.58 = 14,847 : x
  2. Step 2: Convert to fraction form
    26,783.67/36,957.58 = 14,847/x
  3. Step 3: Cross multiply
    26,783.67x = 36,957.58 × 14,847
  4. Step 4: Simplify right side
    26,783.67x = 548,709,190.26
  5. Step 5: Solve for x
    x = 548,709,190.26/26,783.67
  6. Step 6: Final answer
    x = 20,486.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.