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Finding the Fourth Proportional to 7,202.82, 9,940.01 and 4,016.04

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Solution

The fourth proportional to 7,202.82, 9,940.01 and 4,016.04 is: 5,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.82 : 9,940.01 = 4,016.04 : x
  2. Step 2: Convert to fraction form
    7,202.82/9,940.01 = 4,016.04/x
  3. Step 3: Cross multiply
    7,202.82x = 9,940.01 × 4,016.04
  4. Step 4: Simplify right side
    7,202.82x = 39,919,477.76
  5. Step 5: Solve for x
    x = 39,919,477.76/7,202.82
  6. Step 6: Final answer
    x = 5,542.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.