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Finding the Fourth Proportional to 16,279.97, 22,466.50 and 8,827.97

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Solution

The fourth proportional to 16,279.97, 22,466.50 and 8,827.97 is: 12,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.97 : 22,466.50 = 8,827.97 : x
  2. Step 2: Convert to fraction form
    16,279.97/22,466.50 = 8,827.97/x
  3. Step 3: Cross multiply
    16,279.97x = 22,466.50 × 8,827.97
  4. Step 4: Simplify right side
    16,279.97x = 198,333,543.87
  5. Step 5: Solve for x
    x = 198,333,543.87/16,279.97
  6. Step 6: Final answer
    x = 12,182.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.