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Finding the Fourth Proportional to 4,966.97, 7,447.88 and 1,678.88

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Solution

The fourth proportional to 4,966.97, 7,447.88 and 1,678.88 is: 2,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.97 : 7,447.88 = 1,678.88 : x
  2. Step 2: Convert to fraction form
    4,966.97/7,447.88 = 1,678.88/x
  3. Step 3: Cross multiply
    4,966.97x = 7,447.88 × 1,678.88
  4. Step 4: Simplify right side
    4,966.97x = 12,504,051.14
  5. Step 5: Solve for x
    x = 12,504,051.14/4,966.97
  6. Step 6: Final answer
    x = 2,517.44

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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.