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Finding the Fourth Proportional to 11,082.96, 16,615.80 and 9,769.68

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Solution

The fourth proportional to 11,082.96, 16,615.80 and 9,769.68 is: 14,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.96 : 16,615.80 = 9,769.68 : x
  2. Step 2: Convert to fraction form
    11,082.96/16,615.80 = 9,769.68/x
  3. Step 3: Cross multiply
    11,082.96x = 16,615.80 × 9,769.68
  4. Step 4: Simplify right side
    11,082.96x = 162,331,048.94
  5. Step 5: Solve for x
    x = 162,331,048.94/11,082.96
  6. Step 6: Final answer
    x = 14,646.90

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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.