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Finding the Fourth Proportional to 11,770.52, 17,736.75 and 9,736.30

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Solution

The fourth proportional to 11,770.52, 17,736.75 and 9,736.30 is: 14,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.52 : 17,736.75 = 9,736.30 : x
  2. Step 2: Convert to fraction form
    11,770.52/17,736.75 = 9,736.30/x
  3. Step 3: Cross multiply
    11,770.52x = 17,736.75 × 9,736.30
  4. Step 4: Simplify right side
    11,770.52x = 172,690,313.81
  5. Step 5: Solve for x
    x = 172,690,313.81/11,770.52
  6. Step 6: Final answer
    x = 14,671.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.