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Finding the Fourth Proportional to 11,768.50, 17,660.05 and 6,840.46

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Solution

The fourth proportional to 11,768.50, 17,660.05 and 6,840.46 is: 10,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.50 : 17,660.05 = 6,840.46 : x
  2. Step 2: Convert to fraction form
    11,768.50/17,660.05 = 6,840.46/x
  3. Step 3: Cross multiply
    11,768.50x = 17,660.05 × 6,840.46
  4. Step 4: Simplify right side
    11,768.50x = 120,802,865.62
  5. Step 5: Solve for x
    x = 120,802,865.62/11,768.50
  6. Step 6: Final answer
    x = 10,264.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.