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Finding the Fourth Proportional to 12,794.46, 17,656.38 and 7,757.37

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Solution

The fourth proportional to 12,794.46, 17,656.38 and 7,757.37 is: 10,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.46 : 17,656.38 = 7,757.37 : x
  2. Step 2: Convert to fraction form
    12,794.46/17,656.38 = 7,757.37/x
  3. Step 3: Cross multiply
    12,794.46x = 17,656.38 × 7,757.37
  4. Step 4: Simplify right side
    12,794.46x = 136,967,072.52
  5. Step 5: Solve for x
    x = 136,967,072.52/12,794.46
  6. Step 6: Final answer
    x = 10,705.19

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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.