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Finding the Fourth Proportional to 4,894.74, 6,754.68 and 2,770.69

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Solution

The fourth proportional to 4,894.74, 6,754.68 and 2,770.69 is: 3,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.74 : 6,754.68 = 2,770.69 : x
  2. Step 2: Convert to fraction form
    4,894.74/6,754.68 = 2,770.69/x
  3. Step 3: Cross multiply
    4,894.74x = 6,754.68 × 2,770.69
  4. Step 4: Simplify right side
    4,894.74x = 18,715,124.33
  5. Step 5: Solve for x
    x = 18,715,124.33/4,894.74
  6. Step 6: Final answer
    x = 3,823.52

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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.