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Finding the Fourth Proportional to 7,164.46, 10,747.95 and 3,269.26

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Solution

The fourth proportional to 7,164.46, 10,747.95 and 3,269.26 is: 4,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.46 : 10,747.95 = 3,269.26 : x
  2. Step 2: Convert to fraction form
    7,164.46/10,747.95 = 3,269.26/x
  3. Step 3: Cross multiply
    7,164.46x = 10,747.95 × 3,269.26
  4. Step 4: Simplify right side
    7,164.46x = 35,137,843.02
  5. Step 5: Solve for x
    x = 35,137,843.02/7,164.46
  6. Step 6: Final answer
    x = 4,904.46

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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.