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Finding the Fourth Proportional to 7,233.50, 9,982.24 and 3,921.50

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Solution

The fourth proportional to 7,233.50, 9,982.24 and 3,921.50 is: 5,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.50 : 9,982.24 = 3,921.50 : x
  2. Step 2: Convert to fraction form
    7,233.50/9,982.24 = 3,921.50/x
  3. Step 3: Cross multiply
    7,233.50x = 9,982.24 × 3,921.50
  4. Step 4: Simplify right side
    7,233.50x = 39,145,354.16
  5. Step 5: Solve for x
    x = 39,145,354.16/7,233.50
  6. Step 6: Final answer
    x = 5,411.68

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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.