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Finding the Fourth Proportional to 9,676.44, 14,509.20 and 8,850.84

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Solution

The fourth proportional to 9,676.44, 14,509.20 and 8,850.84 is: 13,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.44 : 14,509.20 = 8,850.84 : x
  2. Step 2: Convert to fraction form
    9,676.44/14,509.20 = 8,850.84/x
  3. Step 3: Cross multiply
    9,676.44x = 14,509.20 × 8,850.84
  4. Step 4: Simplify right side
    9,676.44x = 128,418,607.73
  5. Step 5: Solve for x
    x = 128,418,607.73/9,676.44
  6. Step 6: Final answer
    x = 13,271.27

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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.