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Finding the Fourth Proportional to 15,082.86, 22,624.29 and 8,514.57

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Solution

The fourth proportional to 15,082.86, 22,624.29 and 8,514.57 is: 12,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.86 : 22,624.29 = 8,514.57 : x
  2. Step 2: Convert to fraction form
    15,082.86/22,624.29 = 8,514.57/x
  3. Step 3: Cross multiply
    15,082.86x = 22,624.29 × 8,514.57
  4. Step 4: Simplify right side
    15,082.86x = 192,636,100.91
  5. Step 5: Solve for x
    x = 192,636,100.91/15,082.86
  6. Step 6: Final answer
    x = 12,771.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.