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Finding the Fourth Proportional to 11,606.73, 17,407.86 and 3,284.73

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Solution

The fourth proportional to 11,606.73, 17,407.86 and 3,284.73 is: 4,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.73 : 17,407.86 = 3,284.73 : x
  2. Step 2: Convert to fraction form
    11,606.73/17,407.86 = 3,284.73/x
  3. Step 3: Cross multiply
    11,606.73x = 17,407.86 × 3,284.73
  4. Step 4: Simplify right side
    11,606.73x = 57,180,119.98
  5. Step 5: Solve for x
    x = 57,180,119.98/11,606.73
  6. Step 6: Final answer
    x = 4,926.46

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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.