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Finding the Fourth Proportional to 11,960.73, 16,513.47 and 7,713.90

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Solution

The fourth proportional to 11,960.73, 16,513.47 and 7,713.90 is: 10,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.73 : 16,513.47 = 7,713.90 : x
  2. Step 2: Convert to fraction form
    11,960.73/16,513.47 = 7,713.90/x
  3. Step 3: Cross multiply
    11,960.73x = 16,513.47 × 7,713.90
  4. Step 4: Simplify right side
    11,960.73x = 127,383,256.23
  5. Step 5: Solve for x
    x = 127,383,256.23/11,960.73
  6. Step 6: Final answer
    x = 10,650.12

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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.