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Finding the Fourth Proportional to 11,698.70, 16,144.12 and 6,393.40

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Solution

The fourth proportional to 11,698.70, 16,144.12 and 6,393.40 is: 8,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.70 : 16,144.12 = 6,393.40 : x
  2. Step 2: Convert to fraction form
    11,698.70/16,144.12 = 6,393.40/x
  3. Step 3: Cross multiply
    11,698.70x = 16,144.12 × 6,393.40
  4. Step 4: Simplify right side
    11,698.70x = 103,215,816.81
  5. Step 5: Solve for x
    x = 103,215,816.81/11,698.70
  6. Step 6: Final answer
    x = 8,822.85

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Similar ratio
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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.