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Finding the Fourth Proportional to 27,197.82, 40,786.95 and 9,423.69

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Solution

The fourth proportional to 27,197.82, 40,786.95 and 9,423.69 is: 14,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.82 : 40,786.95 = 9,423.69 : x
  2. Step 2: Convert to fraction form
    27,197.82/40,786.95 = 9,423.69/x
  3. Step 3: Cross multiply
    27,197.82x = 40,786.95 × 9,423.69
  4. Step 4: Simplify right side
    27,197.82x = 384,363,572.85
  5. Step 5: Solve for x
    x = 384,363,572.85/27,197.82
  6. Step 6: Final answer
    x = 14,132.15

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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.