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Finding the Fourth Proportional to 27,971.66, 41,953.88 and 8,252.30

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Solution

The fourth proportional to 27,971.66, 41,953.88 and 8,252.30 is: 12,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.66 : 41,953.88 = 8,252.30 : x
  2. Step 2: Convert to fraction form
    27,971.66/41,953.88 = 8,252.30/x
  3. Step 3: Cross multiply
    27,971.66x = 41,953.88 × 8,252.30
  4. Step 4: Simplify right side
    27,971.66x = 346,216,003.92
  5. Step 5: Solve for x
    x = 346,216,003.92/27,971.66
  6. Step 6: Final answer
    x = 12,377.38

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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.