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Finding the Fourth Proportional to 12,713.38, 17,544.46 and 7,745.38

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Solution

The fourth proportional to 12,713.38, 17,544.46 and 7,745.38 is: 10,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.38 : 17,544.46 = 7,745.38 : x
  2. Step 2: Convert to fraction form
    12,713.38/17,544.46 = 7,745.38/x
  3. Step 3: Cross multiply
    12,713.38x = 17,544.46 × 7,745.38
  4. Step 4: Simplify right side
    12,713.38x = 135,888,509.59
  5. Step 5: Solve for x
    x = 135,888,509.59/12,713.38
  6. Step 6: Final answer
    x = 10,688.62

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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.