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Finding the Fourth Proportional to 9,676.22, 14,512.28 and 3,100.64

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Solution

The fourth proportional to 9,676.22, 14,512.28 and 3,100.64 is: 4,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.22 : 14,512.28 = 3,100.64 : x
  2. Step 2: Convert to fraction form
    9,676.22/14,512.28 = 3,100.64/x
  3. Step 3: Cross multiply
    9,676.22x = 14,512.28 × 3,100.64
  4. Step 4: Simplify right side
    9,676.22x = 44,997,355.86
  5. Step 5: Solve for x
    x = 44,997,355.86/9,676.22
  6. Step 6: Final answer
    x = 4,650.30

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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.