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Finding the Fourth Proportional to 4,966.09, 7,450.15 and 1,456.21

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Solution

The fourth proportional to 4,966.09, 7,450.15 and 1,456.21 is: 2,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.09 : 7,450.15 = 1,456.21 : x
  2. Step 2: Convert to fraction form
    4,966.09/7,450.15 = 1,456.21/x
  3. Step 3: Cross multiply
    4,966.09x = 7,450.15 × 1,456.21
  4. Step 4: Simplify right side
    4,966.09x = 10,848,982.93
  5. Step 5: Solve for x
    x = 10,848,982.93/4,966.09
  6. Step 6: Final answer
    x = 2,184.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.