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Finding the Fourth Proportional to 10,775.39, 16,163.10 and 2,984.22

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Solution

The fourth proportional to 10,775.39, 16,163.10 and 2,984.22 is: 4,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.39 : 16,163.10 = 2,984.22 : x
  2. Step 2: Convert to fraction form
    10,775.39/16,163.10 = 2,984.22/x
  3. Step 3: Cross multiply
    10,775.39x = 16,163.10 × 2,984.22
  4. Step 4: Simplify right side
    10,775.39x = 48,234,246.28
  5. Step 5: Solve for x
    x = 48,234,246.28/10,775.39
  6. Step 6: Final answer
    x = 4,476.34

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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.