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Finding the Fourth Proportional to 9,279.92, 13,922.02 and 2,706.20

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Solution

The fourth proportional to 9,279.92, 13,922.02 and 2,706.20 is: 4,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.92 : 13,922.02 = 2,706.20 : x
  2. Step 2: Convert to fraction form
    9,279.92/13,922.02 = 2,706.20/x
  3. Step 3: Cross multiply
    9,279.92x = 13,922.02 × 2,706.20
  4. Step 4: Simplify right side
    9,279.92x = 37,675,770.52
  5. Step 5: Solve for x
    x = 37,675,770.52/9,279.92
  6. Step 6: Final answer
    x = 4,059.92

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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.