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Finding the Fourth Proportional to 6,706.06, 10,059.19 and 2,323.62

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Solution

The fourth proportional to 6,706.06, 10,059.19 and 2,323.62 is: 3,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.06 : 10,059.19 = 2,323.62 : x
  2. Step 2: Convert to fraction form
    6,706.06/10,059.19 = 2,323.62/x
  3. Step 3: Cross multiply
    6,706.06x = 10,059.19 × 2,323.62
  4. Step 4: Simplify right side
    6,706.06x = 23,373,729.26
  5. Step 5: Solve for x
    x = 23,373,729.26/6,706.06
  6. Step 6: Final answer
    x = 3,485.47

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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.