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Finding the Fourth Proportional to 7,672.32, 11,512.13 and 3,973.86

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Solution

The fourth proportional to 7,672.32, 11,512.13 and 3,973.86 is: 5,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.32 : 11,512.13 = 3,973.86 : x
  2. Step 2: Convert to fraction form
    7,672.32/11,512.13 = 3,973.86/x
  3. Step 3: Cross multiply
    7,672.32x = 11,512.13 × 3,973.86
  4. Step 4: Simplify right side
    7,672.32x = 45,747,573.05
  5. Step 5: Solve for x
    x = 45,747,573.05/7,672.32
  6. Step 6: Final answer
    x = 5,962.68

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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.