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Finding the Fourth Proportional to 27,645.80, 41,468.70 and 6,869.30

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Solution

The fourth proportional to 27,645.80, 41,468.70 and 6,869.30 is: 10,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.80 : 41,468.70 = 6,869.30 : x
  2. Step 2: Convert to fraction form
    27,645.80/41,468.70 = 6,869.30/x
  3. Step 3: Cross multiply
    27,645.80x = 41,468.70 × 6,869.30
  4. Step 4: Simplify right side
    27,645.80x = 284,860,940.91
  5. Step 5: Solve for x
    x = 284,860,940.91/27,645.80
  6. Step 6: Final answer
    x = 10,303.95

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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.