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Finding the Fourth Proportional to 10,676.60, 16,004.10 and 6,291.80

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Solution

The fourth proportional to 10,676.60, 16,004.10 and 6,291.80 is: 9,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.60 : 16,004.10 = 6,291.80 : x
  2. Step 2: Convert to fraction form
    10,676.60/16,004.10 = 6,291.80/x
  3. Step 3: Cross multiply
    10,676.60x = 16,004.10 × 6,291.80
  4. Step 4: Simplify right side
    10,676.60x = 100,694,596.38
  5. Step 5: Solve for x
    x = 100,694,596.38/10,676.60
  6. Step 6: Final answer
    x = 9,431.34

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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.