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Finding the Fourth Proportional to 12,082.48, 16,675.92 and 7,049.64

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Solution

The fourth proportional to 12,082.48, 16,675.92 and 7,049.64 is: 9,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.48 : 16,675.92 = 7,049.64 : x
  2. Step 2: Convert to fraction form
    12,082.48/16,675.92 = 7,049.64/x
  3. Step 3: Cross multiply
    12,082.48x = 16,675.92 × 7,049.64
  4. Step 4: Simplify right side
    12,082.48x = 117,559,232.67
  5. Step 5: Solve for x
    x = 117,559,232.67/12,082.48
  6. Step 6: Final answer
    x = 9,729.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.