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Finding the Fourth Proportional to 27,645.69, 41,468.58 and 8,411.61

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Solution

The fourth proportional to 27,645.69, 41,468.58 and 8,411.61 is: 12,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.69 : 41,468.58 = 8,411.61 : x
  2. Step 2: Convert to fraction form
    27,645.69/41,468.58 = 8,411.61/x
  3. Step 3: Cross multiply
    27,645.69x = 41,468.58 × 8,411.61
  4. Step 4: Simplify right side
    27,645.69x = 348,817,522.21
  5. Step 5: Solve for x
    x = 348,817,522.21/27,645.69
  6. Step 6: Final answer
    x = 12,617.43

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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.