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Finding the Fourth Proportional to 6,706.07, 10,059.11 and 2,546.08

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Solution

The fourth proportional to 6,706.07, 10,059.11 and 2,546.08 is: 3,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.07 : 10,059.11 = 2,546.08 : x
  2. Step 2: Convert to fraction form
    6,706.07/10,059.11 = 2,546.08/x
  3. Step 3: Cross multiply
    6,706.07x = 10,059.11 × 2,546.08
  4. Step 4: Simplify right side
    6,706.07x = 25,611,319.70
  5. Step 5: Solve for x
    x = 25,611,319.70/6,706.07
  6. Step 6: Final answer
    x = 3,819.12

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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.