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Finding the Fourth Proportional to 11,867.67, 17,798.76 and 8,193.51

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Solution

The fourth proportional to 11,867.67, 17,798.76 and 8,193.51 is: 12,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.67 : 17,798.76 = 8,193.51 : x
  2. Step 2: Convert to fraction form
    11,867.67/17,798.76 = 8,193.51/x
  3. Step 3: Cross multiply
    11,867.67x = 17,798.76 × 8,193.51
  4. Step 4: Simplify right side
    11,867.67x = 145,834,318.05
  5. Step 5: Solve for x
    x = 145,834,318.05/11,867.67
  6. Step 6: Final answer
    x = 12,288.37

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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.