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Finding the Fourth Proportional to 6,706.26, 10,059.84 and 1,775.84

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Solution

The fourth proportional to 6,706.26, 10,059.84 and 1,775.84 is: 2,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.26 : 10,059.84 = 1,775.84 : x
  2. Step 2: Convert to fraction form
    6,706.26/10,059.84 = 1,775.84/x
  3. Step 3: Cross multiply
    6,706.26x = 10,059.84 × 1,775.84
  4. Step 4: Simplify right side
    6,706.26x = 17,864,615.97
  5. Step 5: Solve for x
    x = 17,864,615.97/6,706.26
  6. Step 6: Final answer
    x = 2,663.87

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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.