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Finding the Fourth Proportional to 11,698.60, 16,144.07 and 6,393.42

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Solution

The fourth proportional to 11,698.60, 16,144.07 and 6,393.42 is: 8,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.60 : 16,144.07 = 6,393.42 : x
  2. Step 2: Convert to fraction form
    11,698.60/16,144.07 = 6,393.42/x
  3. Step 3: Cross multiply
    11,698.60x = 16,144.07 × 6,393.42
  4. Step 4: Simplify right side
    11,698.60x = 103,215,739.30
  5. Step 5: Solve for x
    x = 103,215,739.30/11,698.60
  6. Step 6: Final answer
    x = 8,822.92

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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.