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Finding the Fourth Proportional to 7,661.22, 11,492.21 and 2,114.44

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Solution

The fourth proportional to 7,661.22, 11,492.21 and 2,114.44 is: 3,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.22 : 11,492.21 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    7,661.22/11,492.21 = 2,114.44/x
  3. Step 3: Cross multiply
    7,661.22x = 11,492.21 × 2,114.44
  4. Step 4: Simplify right side
    7,661.22x = 24,299,565.07
  5. Step 5: Solve for x
    x = 24,299,565.07/7,661.22
  6. Step 6: Final answer
    x = 3,171.76

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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.