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Finding the Fourth Proportional to 10,408.44, 15,620.40 and 7,642.20

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Solution

The fourth proportional to 10,408.44, 15,620.40 and 7,642.20 is: 11,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.44 : 15,620.40 = 7,642.20 : x
  2. Step 2: Convert to fraction form
    10,408.44/15,620.40 = 7,642.20/x
  3. Step 3: Cross multiply
    10,408.44x = 15,620.40 × 7,642.20
  4. Step 4: Simplify right side
    10,408.44x = 119,374,220.88
  5. Step 5: Solve for x
    x = 119,374,220.88/10,408.44
  6. Step 6: Final answer
    x = 11,468.98

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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.