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Finding the Fourth Proportional to 12,767.15, 17,613.05 and 8,514.15

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Solution

The fourth proportional to 12,767.15, 17,613.05 and 8,514.15 is: 11,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.15 : 17,613.05 = 8,514.15 : x
  2. Step 2: Convert to fraction form
    12,767.15/17,613.05 = 8,514.15/x
  3. Step 3: Cross multiply
    12,767.15x = 17,613.05 × 8,514.15
  4. Step 4: Simplify right side
    12,767.15x = 149,960,041.04
  5. Step 5: Solve for x
    x = 149,960,041.04/12,767.15
  6. Step 6: Final answer
    x = 11,745.77

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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.