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Finding the Fourth Proportional to 13,672.46, 20,508.72 and 7,824.96

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Solution

The fourth proportional to 13,672.46, 20,508.72 and 7,824.96 is: 11,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.46 : 20,508.72 = 7,824.96 : x
  2. Step 2: Convert to fraction form
    13,672.46/20,508.72 = 7,824.96/x
  3. Step 3: Cross multiply
    13,672.46x = 20,508.72 × 7,824.96
  4. Step 4: Simplify right side
    13,672.46x = 160,479,913.65
  5. Step 5: Solve for x
    x = 160,479,913.65/13,672.46
  6. Step 6: Final answer
    x = 11,737.46

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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.