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Finding the Fourth Proportional to 9,480.86, 13,082.86 and 5,232.09

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Solution

The fourth proportional to 9,480.86, 13,082.86 and 5,232.09 is: 7,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.86 : 13,082.86 = 5,232.09 : x
  2. Step 2: Convert to fraction form
    9,480.86/13,082.86 = 5,232.09/x
  3. Step 3: Cross multiply
    9,480.86x = 13,082.86 × 5,232.09
  4. Step 4: Simplify right side
    9,480.86x = 68,450,700.98
  5. Step 5: Solve for x
    x = 68,450,700.98/9,480.86
  6. Step 6: Final answer
    x = 7,219.88

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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.