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Finding the Fourth Proportional to 13,046.97, 18,004.53 and 7,380.96

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Solution

The fourth proportional to 13,046.97, 18,004.53 and 7,380.96 is: 10,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.97 : 18,004.53 = 7,380.96 : x
  2. Step 2: Convert to fraction form
    13,046.97/18,004.53 = 7,380.96/x
  3. Step 3: Cross multiply
    13,046.97x = 18,004.53 × 7,380.96
  4. Step 4: Simplify right side
    13,046.97x = 132,890,715.75
  5. Step 5: Solve for x
    x = 132,890,715.75/13,046.97
  6. Step 6: Final answer
    x = 10,185.56

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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.