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Finding the Fourth Proportional to 12,083.58, 16,682.49 and 7,611.17

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Solution

The fourth proportional to 12,083.58, 16,682.49 and 7,611.17 is: 10,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.58 : 16,682.49 = 7,611.17 : x
  2. Step 2: Convert to fraction form
    12,083.58/16,682.49 = 7,611.17/x
  3. Step 3: Cross multiply
    12,083.58x = 16,682.49 × 7,611.17
  4. Step 4: Simplify right side
    12,083.58x = 126,973,184.00
  5. Step 5: Solve for x
    x = 126,973,184.00/12,083.58
  6. Step 6: Final answer
    x = 10,507.91

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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.