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Finding the Fourth Proportional to 7,747.12, 11,662.84 and 7,058.22

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Solution

The fourth proportional to 7,747.12, 11,662.84 and 7,058.22 is: 10,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.12 : 11,662.84 = 7,058.22 : x
  2. Step 2: Convert to fraction form
    7,747.12/11,662.84 = 7,058.22/x
  3. Step 3: Cross multiply
    7,747.12x = 11,662.84 × 7,058.22
  4. Step 4: Simplify right side
    7,747.12x = 82,318,855.63
  5. Step 5: Solve for x
    x = 82,318,855.63/7,747.12
  6. Step 6: Final answer
    x = 10,625.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.