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Finding the Fourth Proportional to 16,321.22, 24,486.11 and 6,961.76

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Solution

The fourth proportional to 16,321.22, 24,486.11 and 6,961.76 is: 10,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.22 : 24,486.11 = 6,961.76 : x
  2. Step 2: Convert to fraction form
    16,321.22/24,486.11 = 6,961.76/x
  3. Step 3: Cross multiply
    16,321.22x = 24,486.11 × 6,961.76
  4. Step 4: Simplify right side
    16,321.22x = 170,466,421.15
  5. Step 5: Solve for x
    x = 170,466,421.15/16,321.22
  6. Step 6: Final answer
    x = 10,444.47

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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.