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Finding the Fourth Proportional to 4,963.86, 7,446.65 and 1,676.97

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Solution

The fourth proportional to 4,963.86, 7,446.65 and 1,676.97 is: 2,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.86 : 7,446.65 = 1,676.97 : x
  2. Step 2: Convert to fraction form
    4,963.86/7,446.65 = 1,676.97/x
  3. Step 3: Cross multiply
    4,963.86x = 7,446.65 × 1,676.97
  4. Step 4: Simplify right side
    4,963.86x = 12,487,800.27
  5. Step 5: Solve for x
    x = 12,487,800.27/4,963.86
  6. Step 6: Final answer
    x = 2,515.74

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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.