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Finding the Fourth Proportional to 4,966.63, 7,450.97 and 1,456.75

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Solution

The fourth proportional to 4,966.63, 7,450.97 and 1,456.75 is: 2,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.63 : 7,450.97 = 1,456.75 : x
  2. Step 2: Convert to fraction form
    4,966.63/7,450.97 = 1,456.75/x
  3. Step 3: Cross multiply
    4,966.63x = 7,450.97 × 1,456.75
  4. Step 4: Simplify right side
    4,966.63x = 10,854,210.77
  5. Step 5: Solve for x
    x = 10,854,210.77/4,966.63
  6. Step 6: Final answer
    x = 2,185.43

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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.