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Finding the Fourth Proportional to 11,602.44, 16,003.44 and 7,408.80

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Solution

The fourth proportional to 11,602.44, 16,003.44 and 7,408.80 is: 10,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.44 : 16,003.44 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    11,602.44/16,003.44 = 7,408.80/x
  3. Step 3: Cross multiply
    11,602.44x = 16,003.44 × 7,408.80
  4. Step 4: Simplify right side
    11,602.44x = 118,566,286.27
  5. Step 5: Solve for x
    x = 118,566,286.27/11,602.44
  6. Step 6: Final answer
    x = 10,219.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.