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Finding the Fourth Proportional to 7,202.84, 9,940.01 and 4,408.34

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Solution

The fourth proportional to 7,202.84, 9,940.01 and 4,408.34 is: 6,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.84 : 9,940.01 = 4,408.34 : x
  2. Step 2: Convert to fraction form
    7,202.84/9,940.01 = 4,408.34/x
  3. Step 3: Cross multiply
    7,202.84x = 9,940.01 × 4,408.34
  4. Step 4: Simplify right side
    7,202.84x = 43,818,871.94
  5. Step 5: Solve for x
    x = 43,818,871.94/7,202.84
  6. Step 6: Final answer
    x = 6,083.56

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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.