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Finding the Fourth Proportional to 9,082.64, 12,505.32 and 8,252.16

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Solution

The fourth proportional to 9,082.64, 12,505.32 and 8,252.16 is: 11,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.64 : 12,505.32 = 8,252.16 : x
  2. Step 2: Convert to fraction form
    9,082.64/12,505.32 = 8,252.16/x
  3. Step 3: Cross multiply
    9,082.64x = 12,505.32 × 8,252.16
  4. Step 4: Simplify right side
    9,082.64x = 103,195,901.49
  5. Step 5: Solve for x
    x = 103,195,901.49/9,082.64
  6. Step 6: Final answer
    x = 11,361.88

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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.