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Finding the Fourth Proportional to 6,353.99, 9,532.26 and 2,194.15

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Solution

The fourth proportional to 6,353.99, 9,532.26 and 2,194.15 is: 3,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.99 : 9,532.26 = 2,194.15 : x
  2. Step 2: Convert to fraction form
    6,353.99/9,532.26 = 2,194.15/x
  3. Step 3: Cross multiply
    6,353.99x = 9,532.26 × 2,194.15
  4. Step 4: Simplify right side
    6,353.99x = 20,915,196.15
  5. Step 5: Solve for x
    x = 20,915,196.15/6,353.99
  6. Step 6: Final answer
    x = 3,291.66

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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.