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Finding the Fourth Proportional to 6,677.80, 10,016.70 and 2,781.70

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Solution

The fourth proportional to 6,677.80, 10,016.70 and 2,781.70 is: 4,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.80 : 10,016.70 = 2,781.70 : x
  2. Step 2: Convert to fraction form
    6,677.80/10,016.70 = 2,781.70/x
  3. Step 3: Cross multiply
    6,677.80x = 10,016.70 × 2,781.70
  4. Step 4: Simplify right side
    6,677.80x = 27,863,454.39
  5. Step 5: Solve for x
    x = 27,863,454.39/6,677.80
  6. Step 6: Final answer
    x = 4,172.55

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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.