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Finding the Fourth Proportional to 8,512.98, 12,774.47 and 3,582.24

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Solution

The fourth proportional to 8,512.98, 12,774.47 and 3,582.24 is: 5,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.98 : 12,774.47 = 3,582.24 : x
  2. Step 2: Convert to fraction form
    8,512.98/12,774.47 = 3,582.24/x
  3. Step 3: Cross multiply
    8,512.98x = 12,774.47 × 3,582.24
  4. Step 4: Simplify right side
    8,512.98x = 45,761,217.41
  5. Step 5: Solve for x
    x = 45,761,217.41/8,512.98
  6. Step 6: Final answer
    x = 5,375.46

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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.