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Finding the Fourth Proportional to 11,864.60, 16,373.92 and 6,829.44

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Solution

The fourth proportional to 11,864.60, 16,373.92 and 6,829.44 is: 9,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.60 : 16,373.92 = 6,829.44 : x
  2. Step 2: Convert to fraction form
    11,864.60/16,373.92 = 6,829.44/x
  3. Step 3: Cross multiply
    11,864.60x = 16,373.92 × 6,829.44
  4. Step 4: Simplify right side
    11,864.60x = 111,824,704.20
  5. Step 5: Solve for x
    x = 111,824,704.20/11,864.60
  6. Step 6: Final answer
    x = 9,425.07

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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.