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Finding the Fourth Proportional to 10,984.96, 16,493.85 and 10,820.95

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Solution

The fourth proportional to 10,984.96, 16,493.85 and 10,820.95 is: 16,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.96 : 16,493.85 = 10,820.95 : x
  2. Step 2: Convert to fraction form
    10,984.96/16,493.85 = 10,820.95/x
  3. Step 3: Cross multiply
    10,984.96x = 16,493.85 × 10,820.95
  4. Step 4: Simplify right side
    10,984.96x = 178,479,126.16
  5. Step 5: Solve for x
    x = 178,479,126.16/10,984.96
  6. Step 6: Final answer
    x = 16,247.59

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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.