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Finding the Fourth Proportional to 4,446.54, 6,133.74 and 2,768.22

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Solution

The fourth proportional to 4,446.54, 6,133.74 and 2,768.22 is: 3,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.54 : 6,133.74 = 2,768.22 : x
  2. Step 2: Convert to fraction form
    4,446.54/6,133.74 = 2,768.22/x
  3. Step 3: Cross multiply
    4,446.54x = 6,133.74 × 2,768.22
  4. Step 4: Simplify right side
    4,446.54x = 16,979,541.74
  5. Step 5: Solve for x
    x = 16,979,541.74/4,446.54
  6. Step 6: Final answer
    x = 3,818.60

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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.