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Finding the Fourth Proportional to 12,199.75, 16,835.13 and 6,894.77

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Solution

The fourth proportional to 12,199.75, 16,835.13 and 6,894.77 is: 9,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.75 : 16,835.13 = 6,894.77 : x
  2. Step 2: Convert to fraction form
    12,199.75/16,835.13 = 6,894.77/x
  3. Step 3: Cross multiply
    12,199.75x = 16,835.13 × 6,894.77
  4. Step 4: Simplify right side
    12,199.75x = 116,074,265.09
  5. Step 5: Solve for x
    x = 116,074,265.09/12,199.75
  6. Step 6: Final answer
    x = 9,514.48

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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.