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Finding the Fourth Proportional to 5,676.96, 8,515.80 and 1,516.88

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Solution

The fourth proportional to 5,676.96, 8,515.80 and 1,516.88 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.96 : 8,515.80 = 1,516.88 : x
  2. Step 2: Convert to fraction form
    5,676.96/8,515.80 = 1,516.88/x
  3. Step 3: Cross multiply
    5,676.96x = 8,515.80 × 1,516.88
  4. Step 4: Simplify right side
    5,676.96x = 12,917,446.70
  5. Step 5: Solve for x
    x = 12,917,446.70/5,676.96
  6. Step 6: Final answer
    x = 2,275.42

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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.