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Finding the Fourth Proportional to 12,199.95, 16,834.08 and 6,892.83

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Solution

The fourth proportional to 12,199.95, 16,834.08 and 6,892.83 is: 9,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.95 : 16,834.08 = 6,892.83 : x
  2. Step 2: Convert to fraction form
    12,199.95/16,834.08 = 6,892.83/x
  3. Step 3: Cross multiply
    12,199.95x = 16,834.08 × 6,892.83
  4. Step 4: Simplify right side
    12,199.95x = 116,034,451.65
  5. Step 5: Solve for x
    x = 116,034,451.65/12,199.95
  6. Step 6: Final answer
    x = 9,511.06

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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.