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Finding the Fourth Proportional to 11,863.65, 16,373.48 and 6,827.78

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Solution

The fourth proportional to 11,863.65, 16,373.48 and 6,827.78 is: 9,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.65 : 16,373.48 = 6,827.78 : x
  2. Step 2: Convert to fraction form
    11,863.65/16,373.48 = 6,827.78/x
  3. Step 3: Cross multiply
    11,863.65x = 16,373.48 × 6,827.78
  4. Step 4: Simplify right side
    11,863.65x = 111,794,403.27
  5. Step 5: Solve for x
    x = 111,794,403.27/11,863.65
  6. Step 6: Final answer
    x = 9,423.27

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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.