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Finding the Fourth Proportional to 6,627.26, 9,942.10 and 3,164.50

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Solution

The fourth proportional to 6,627.26, 9,942.10 and 3,164.50 is: 4,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.26 : 9,942.10 = 3,164.50 : x
  2. Step 2: Convert to fraction form
    6,627.26/9,942.10 = 3,164.50/x
  3. Step 3: Cross multiply
    6,627.26x = 9,942.10 × 3,164.50
  4. Step 4: Simplify right side
    6,627.26x = 31,461,775.45
  5. Step 5: Solve for x
    x = 31,461,775.45/6,627.26
  6. Step 6: Final answer
    x = 4,747.33

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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.