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Finding the Fourth Proportional to 12,199.68, 16,834.64 and 6,894.99

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Solution

The fourth proportional to 12,199.68, 16,834.64 and 6,894.99 is: 9,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.68 : 16,834.64 = 6,894.99 : x
  2. Step 2: Convert to fraction form
    12,199.68/16,834.64 = 6,894.99/x
  3. Step 3: Cross multiply
    12,199.68x = 16,834.64 × 6,894.99
  4. Step 4: Simplify right side
    12,199.68x = 116,074,639.98
  5. Step 5: Solve for x
    x = 116,074,639.98/12,199.68
  6. Step 6: Final answer
    x = 9,514.56

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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.