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Finding the Fourth Proportional to 27,934.98, 41,903.22 and 8,214.16

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Solution

The fourth proportional to 27,934.98, 41,903.22 and 8,214.16 is: 12,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.98 : 41,903.22 = 8,214.16 : x
  2. Step 2: Convert to fraction form
    27,934.98/41,903.22 = 8,214.16/x
  3. Step 3: Cross multiply
    27,934.98x = 41,903.22 × 8,214.16
  4. Step 4: Simplify right side
    27,934.98x = 344,199,758.21
  5. Step 5: Solve for x
    x = 344,199,758.21/27,934.98
  6. Step 6: Final answer
    x = 12,321.46

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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.