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Finding the Fourth Proportional to 11,794.10, 16,256.96 and 8,952.20

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Solution

The fourth proportional to 11,794.10, 16,256.96 and 8,952.20 is: 12,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.10 : 16,256.96 = 8,952.20 : x
  2. Step 2: Convert to fraction form
    11,794.10/16,256.96 = 8,952.20/x
  3. Step 3: Cross multiply
    11,794.10x = 16,256.96 × 8,952.20
  4. Step 4: Simplify right side
    11,794.10x = 145,535,557.31
  5. Step 5: Solve for x
    x = 145,535,557.31/11,794.10
  6. Step 6: Final answer
    x = 12,339.69

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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.