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Finding the Fourth Proportional to 10,962, 16,450.29 and 4,036.50

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Solution

The fourth proportional to 10,962, 16,450.29 and 4,036.50 is: 6,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962 : 16,450.29 = 4,036.50 : x
  2. Step 2: Convert to fraction form
    10,962/16,450.29 = 4,036.50/x
  3. Step 3: Cross multiply
    10,962x = 16,450.29 × 4,036.50
  4. Step 4: Simplify right side
    10,962x = 66,401,595.59
  5. Step 5: Solve for x
    x = 66,401,595.59/10,962
  6. Step 6: Final answer
    x = 6,057.43

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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.