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Finding the Fourth Proportional to 7,158.69, 10,729.22 and 3,412.44

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Solution

The fourth proportional to 7,158.69, 10,729.22 and 3,412.44 is: 5,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.69 : 10,729.22 = 3,412.44 : x
  2. Step 2: Convert to fraction form
    7,158.69/10,729.22 = 3,412.44/x
  3. Step 3: Cross multiply
    7,158.69x = 10,729.22 × 3,412.44
  4. Step 4: Simplify right side
    7,158.69x = 36,612,819.50
  5. Step 5: Solve for x
    x = 36,612,819.50/7,158.69
  6. Step 6: Final answer
    x = 5,114.46

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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.