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Finding the Fourth Proportional to 12,054.14, 16,634.53 and 6,749.14

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Solution

The fourth proportional to 12,054.14, 16,634.53 and 6,749.14 is: 9,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.14 : 16,634.53 = 6,749.14 : x
  2. Step 2: Convert to fraction form
    12,054.14/16,634.53 = 6,749.14/x
  3. Step 3: Cross multiply
    12,054.14x = 16,634.53 × 6,749.14
  4. Step 4: Simplify right side
    12,054.14x = 112,268,771.80
  5. Step 5: Solve for x
    x = 112,268,771.80/12,054.14
  6. Step 6: Final answer
    x = 9,313.71

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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.