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Finding the Fourth Proportional to 11,660.42, 17,493.06 and 3,868.68

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Solution

The fourth proportional to 11,660.42, 17,493.06 and 3,868.68 is: 5,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.42 : 17,493.06 = 3,868.68 : x
  2. Step 2: Convert to fraction form
    11,660.42/17,493.06 = 3,868.68/x
  3. Step 3: Cross multiply
    11,660.42x = 17,493.06 × 3,868.68
  4. Step 4: Simplify right side
    11,660.42x = 67,675,051.36
  5. Step 5: Solve for x
    x = 67,675,051.36/11,660.42
  6. Step 6: Final answer
    x = 5,803.83

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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.