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Finding the Fourth Proportional to 12,768.03, 17,621.43 and 7,734.00

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Solution

The fourth proportional to 12,768.03, 17,621.43 and 7,734.00 is: 10,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.03 : 17,621.43 = 7,734.00 : x
  2. Step 2: Convert to fraction form
    12,768.03/17,621.43 = 7,734.00/x
  3. Step 3: Cross multiply
    12,768.03x = 17,621.43 × 7,734.00
  4. Step 4: Simplify right side
    12,768.03x = 136,284,234.70
  5. Step 5: Solve for x
    x = 136,284,234.70/12,768.03
  6. Step 6: Final answer
    x = 10,673.87

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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.