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Finding the Fourth Proportional to 12,099.32, 16,697.05 and 6,794.14

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Solution

The fourth proportional to 12,099.32, 16,697.05 and 6,794.14 is: 9,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.32 : 16,697.05 = 6,794.14 : x
  2. Step 2: Convert to fraction form
    12,099.32/16,697.05 = 6,794.14/x
  3. Step 3: Cross multiply
    12,099.32x = 16,697.05 × 6,794.14
  4. Step 4: Simplify right side
    12,099.32x = 113,442,011.80
  5. Step 5: Solve for x
    x = 113,442,011.80/12,099.32
  6. Step 6: Final answer
    x = 9,375.90

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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.