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Finding the Fourth Proportional to 12,757.17, 17,604.53 and 7,091.77

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Solution

The fourth proportional to 12,757.17, 17,604.53 and 7,091.77 is: 9,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.17 : 17,604.53 = 7,091.77 : x
  2. Step 2: Convert to fraction form
    12,757.17/17,604.53 = 7,091.77/x
  3. Step 3: Cross multiply
    12,757.17x = 17,604.53 × 7,091.77
  4. Step 4: Simplify right side
    12,757.17x = 124,847,277.72
  5. Step 5: Solve for x
    x = 124,847,277.72/12,757.17
  6. Step 6: Final answer
    x = 9,786.44

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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.