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Finding the Fourth Proportional to 9,082.16, 12,553.08 and 8,382.32

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Solution

The fourth proportional to 9,082.16, 12,553.08 and 8,382.32 is: 11,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.16 : 12,553.08 = 8,382.32 : x
  2. Step 2: Convert to fraction form
    9,082.16/12,553.08 = 8,382.32/x
  3. Step 3: Cross multiply
    9,082.16x = 12,553.08 × 8,382.32
  4. Step 4: Simplify right side
    9,082.16x = 105,223,933.55
  5. Step 5: Solve for x
    x = 105,223,933.55/9,082.16
  6. Step 6: Final answer
    x = 11,585.78

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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.