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Finding the Fourth Proportional to 10,594.60, 15,891.90 and 8,141.80

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Solution

The fourth proportional to 10,594.60, 15,891.90 and 8,141.80 is: 12,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.60 : 15,891.90 = 8,141.80 : x
  2. Step 2: Convert to fraction form
    10,594.60/15,891.90 = 8,141.80/x
  3. Step 3: Cross multiply
    10,594.60x = 15,891.90 × 8,141.80
  4. Step 4: Simplify right side
    10,594.60x = 129,388,671.42
  5. Step 5: Solve for x
    x = 129,388,671.42/10,594.60
  6. Step 6: Final answer
    x = 12,212.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.