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Finding the Fourth Proportional to 11,653.83, 16,082.31 and 6,348.63

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Solution

The fourth proportional to 11,653.83, 16,082.31 and 6,348.63 is: 8,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.83 : 16,082.31 = 6,348.63 : x
  2. Step 2: Convert to fraction form
    11,653.83/16,082.31 = 6,348.63/x
  3. Step 3: Cross multiply
    11,653.83x = 16,082.31 × 6,348.63
  4. Step 4: Simplify right side
    11,653.83x = 102,100,635.74
  5. Step 5: Solve for x
    x = 102,100,635.74/11,653.83
  6. Step 6: Final answer
    x = 8,761.12

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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.