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Finding the Fourth Proportional to 11,653.52, 16,082.03 and 6,348.33

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Solution

The fourth proportional to 11,653.52, 16,082.03 and 6,348.33 is: 8,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.52 : 16,082.03 = 6,348.33 : x
  2. Step 2: Convert to fraction form
    11,653.52/16,082.03 = 6,348.33/x
  3. Step 3: Cross multiply
    11,653.52x = 16,082.03 × 6,348.33
  4. Step 4: Simplify right side
    11,653.52x = 102,094,033.51
  5. Step 5: Solve for x
    x = 102,094,033.51/11,653.52
  6. Step 6: Final answer
    x = 8,760.79

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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.