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Finding the Fourth Proportional to 12,305.93, 16,982.03 and 7,000.73

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Solution

The fourth proportional to 12,305.93, 16,982.03 and 7,000.73 is: 9,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.93 : 16,982.03 = 7,000.73 : x
  2. Step 2: Convert to fraction form
    12,305.93/16,982.03 = 7,000.73/x
  3. Step 3: Cross multiply
    12,305.93x = 16,982.03 × 7,000.73
  4. Step 4: Simplify right side
    12,305.93x = 118,886,571.88
  5. Step 5: Solve for x
    x = 118,886,571.88/12,305.93
  6. Step 6: Final answer
    x = 9,660.92

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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.