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Finding the Fourth Proportional to 7,324.00, 10,107.10 and 3,966.82

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Solution

The fourth proportional to 7,324.00, 10,107.10 and 3,966.82 is: 5,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.00 : 10,107.10 = 3,966.82 : x
  2. Step 2: Convert to fraction form
    7,324.00/10,107.10 = 3,966.82/x
  3. Step 3: Cross multiply
    7,324.00x = 10,107.10 × 3,966.82
  4. Step 4: Simplify right side
    7,324.00x = 40,093,060.65
  5. Step 5: Solve for x
    x = 40,093,060.65/7,324.00
  6. Step 6: Final answer
    x = 5,474.20

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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.