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Finding the Fourth Proportional to 12,099.68, 16,697.75 and 6,794.38

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Solution

The fourth proportional to 12,099.68, 16,697.75 and 6,794.38 is: 9,376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.68 : 16,697.75 = 6,794.38 : x
  2. Step 2: Convert to fraction form
    12,099.68/16,697.75 = 6,794.38/x
  3. Step 3: Cross multiply
    12,099.68x = 16,697.75 × 6,794.38
  4. Step 4: Simplify right side
    12,099.68x = 113,450,775.16
  5. Step 5: Solve for x
    x = 113,450,775.16/12,099.68
  6. Step 6: Final answer
    x = 9,376.35

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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.