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Finding the Fourth Proportional to 11,865.96, 16,375.86 and 6,830.28

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Solution

The fourth proportional to 11,865.96, 16,375.86 and 6,830.28 is: 9,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.96 : 16,375.86 = 6,830.28 : x
  2. Step 2: Convert to fraction form
    11,865.96/16,375.86 = 6,830.28/x
  3. Step 3: Cross multiply
    11,865.96x = 16,375.86 × 6,830.28
  4. Step 4: Simplify right side
    11,865.96x = 111,851,709.04
  5. Step 5: Solve for x
    x = 111,851,709.04/11,865.96
  6. Step 6: Final answer
    x = 9,426.27

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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.