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Finding the Fourth Proportional to 11,777.68, 17,660.82 and 6,848.62

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Solution

The fourth proportional to 11,777.68, 17,660.82 and 6,848.62 is: 10,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 17,660.82 = 6,848.62 : x
  2. Step 2: Convert to fraction form
    11,777.68/17,660.82 = 6,848.62/x
  3. Step 3: Cross multiply
    11,777.68x = 17,660.82 × 6,848.62
  4. Step 4: Simplify right side
    11,777.68x = 120,952,245.07
  5. Step 5: Solve for x
    x = 120,952,245.07/11,777.68
  6. Step 6: Final answer
    x = 10,269.62

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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.