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Finding the Fourth Proportional to 7,233, 9,982.16 and 4,582.49

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Solution

The fourth proportional to 7,233, 9,982.16 and 4,582.49 is: 6,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233 : 9,982.16 = 4,582.49 : x
  2. Step 2: Convert to fraction form
    7,233/9,982.16 = 4,582.49/x
  3. Step 3: Cross multiply
    7,233x = 9,982.16 × 4,582.49
  4. Step 4: Simplify right side
    7,233x = 45,743,075.56
  5. Step 5: Solve for x
    x = 45,743,075.56/7,233
  6. Step 6: Final answer
    x = 6,324.22

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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.