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Finding the Fourth Proportional to 10,597.73, 15,899.09 and 3,202.25

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Solution

The fourth proportional to 10,597.73, 15,899.09 and 3,202.25 is: 4,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.73 : 15,899.09 = 3,202.25 : x
  2. Step 2: Convert to fraction form
    10,597.73/15,899.09 = 3,202.25/x
  3. Step 3: Cross multiply
    10,597.73x = 15,899.09 × 3,202.25
  4. Step 4: Simplify right side
    10,597.73x = 50,912,765.45
  5. Step 5: Solve for x
    x = 50,912,765.45/10,597.73
  6. Step 6: Final answer
    x = 4,804.12

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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.