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Finding the Fourth Proportional to 11,653.94, 16,082.42 and 6,348.74

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Solution

The fourth proportional to 11,653.94, 16,082.42 and 6,348.74 is: 8,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.94 : 16,082.42 = 6,348.74 : x
  2. Step 2: Convert to fraction form
    11,653.94/16,082.42 = 6,348.74/x
  3. Step 3: Cross multiply
    11,653.94x = 16,082.42 × 6,348.74
  4. Step 4: Simplify right side
    11,653.94x = 102,102,991.00
  5. Step 5: Solve for x
    x = 102,102,991.00/11,653.94
  6. Step 6: Final answer
    x = 8,761.24

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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.