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Finding the Fourth Proportional to 12,099.65, 16,695.71 and 6,793.43

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Solution

The fourth proportional to 12,099.65, 16,695.71 and 6,793.43 is: 9,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.65 : 16,695.71 = 6,793.43 : x
  2. Step 2: Convert to fraction form
    12,099.65/16,695.71 = 6,793.43/x
  3. Step 3: Cross multiply
    12,099.65x = 16,695.71 × 6,793.43
  4. Step 4: Simplify right side
    12,099.65x = 113,421,144.96
  5. Step 5: Solve for x
    x = 113,421,144.96/12,099.65
  6. Step 6: Final answer
    x = 9,373.92

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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.