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Finding the Fourth Proportional to 7,600.44, 11,419.32 and 7,180.86

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Solution

The fourth proportional to 7,600.44, 11,419.32 and 7,180.86 is: 10,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.44 : 11,419.32 = 7,180.86 : x
  2. Step 2: Convert to fraction form
    7,600.44/11,419.32 = 7,180.86/x
  3. Step 3: Cross multiply
    7,600.44x = 11,419.32 × 7,180.86
  4. Step 4: Simplify right side
    7,600.44x = 82,000,538.22
  5. Step 5: Solve for x
    x = 82,000,538.22/7,600.44
  6. Step 6: Final answer
    x = 10,788.92

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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.