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Finding the Fourth Proportional to 22,706.86, 34,052.94 and 8,279.10

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Solution

The fourth proportional to 22,706.86, 34,052.94 and 8,279.10 is: 12,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.86 : 34,052.94 = 8,279.10 : x
  2. Step 2: Convert to fraction form
    22,706.86/34,052.94 = 8,279.10/x
  3. Step 3: Cross multiply
    22,706.86x = 34,052.94 × 8,279.10
  4. Step 4: Simplify right side
    22,706.86x = 281,927,695.55
  5. Step 5: Solve for x
    x = 281,927,695.55/22,706.86
  6. Step 6: Final answer
    x = 12,415.97

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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.