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Finding the Fourth Proportional to 10,805.73, 16,202.10 and 4,224.07

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Solution

The fourth proportional to 10,805.73, 16,202.10 and 4,224.07 is: 6,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.73 : 16,202.10 = 4,224.07 : x
  2. Step 2: Convert to fraction form
    10,805.73/16,202.10 = 4,224.07/x
  3. Step 3: Cross multiply
    10,805.73x = 16,202.10 × 4,224.07
  4. Step 4: Simplify right side
    10,805.73x = 68,438,804.55
  5. Step 5: Solve for x
    x = 68,438,804.55/10,805.73
  6. Step 6: Final answer
    x = 6,333.57

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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.