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Finding the Fourth Proportional to 11,653.56, 16,082.03 and 6,617.89

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Solution

The fourth proportional to 11,653.56, 16,082.03 and 6,617.89 is: 9,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.56 : 16,082.03 = 6,617.89 : x
  2. Step 2: Convert to fraction form
    11,653.56/16,082.03 = 6,617.89/x
  3. Step 3: Cross multiply
    11,653.56x = 16,082.03 × 6,617.89
  4. Step 4: Simplify right side
    11,653.56x = 106,429,105.52
  5. Step 5: Solve for x
    x = 106,429,105.52/11,653.56
  6. Step 6: Final answer
    x = 9,132.75

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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.