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Finding the Fourth Proportional to 11,653.65, 16,082.12 and 6,348.42

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Solution

The fourth proportional to 11,653.65, 16,082.12 and 6,348.42 is: 8,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.65 : 16,082.12 = 6,348.42 : x
  2. Step 2: Convert to fraction form
    11,653.65/16,082.12 = 6,348.42/x
  3. Step 3: Cross multiply
    11,653.65x = 16,082.12 × 6,348.42
  4. Step 4: Simplify right side
    11,653.65x = 102,096,020.51
  5. Step 5: Solve for x
    x = 102,096,020.51/11,653.65
  6. Step 6: Final answer
    x = 8,760.86

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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.