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Finding the Fourth Proportional to 10,771.75, 14,864.92 and 5,991.73

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Solution

The fourth proportional to 10,771.75, 14,864.92 and 5,991.73 is: 8,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.75 : 14,864.92 = 5,991.73 : x
  2. Step 2: Convert to fraction form
    10,771.75/14,864.92 = 5,991.73/x
  3. Step 3: Cross multiply
    10,771.75x = 14,864.92 × 5,991.73
  4. Step 4: Simplify right side
    10,771.75x = 89,066,587.11
  5. Step 5: Solve for x
    x = 89,066,587.11/10,771.75
  6. Step 6: Final answer
    x = 8,268.53

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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.