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Finding the Fourth Proportional to 4,903.15, 6,764.76 and 2,778.49

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Solution

The fourth proportional to 4,903.15, 6,764.76 and 2,778.49 is: 3,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.15 : 6,764.76 = 2,778.49 : x
  2. Step 2: Convert to fraction form
    4,903.15/6,764.76 = 2,778.49/x
  3. Step 3: Cross multiply
    4,903.15x = 6,764.76 × 2,778.49
  4. Step 4: Simplify right side
    4,903.15x = 18,795,818.01
  5. Step 5: Solve for x
    x = 18,795,818.01/4,903.15
  6. Step 6: Final answer
    x = 3,833.42

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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.