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Finding the Fourth Proportional to 11,793.76, 17,683.83 and 7,054.66

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Solution

The fourth proportional to 11,793.76, 17,683.83 and 7,054.66 is: 10,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.76 : 17,683.83 = 7,054.66 : x
  2. Step 2: Convert to fraction form
    11,793.76/17,683.83 = 7,054.66/x
  3. Step 3: Cross multiply
    11,793.76x = 17,683.83 × 7,054.66
  4. Step 4: Simplify right side
    11,793.76x = 124,753,408.15
  5. Step 5: Solve for x
    x = 124,753,408.15/11,793.76
  6. Step 6: Final answer
    x = 10,577.92

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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.