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Finding the Fourth Proportional to 7,328.56, 10,960.44 and 6,512.08

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Solution

The fourth proportional to 7,328.56, 10,960.44 and 6,512.08 is: 9,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.56 : 10,960.44 = 6,512.08 : x
  2. Step 2: Convert to fraction form
    7,328.56/10,960.44 = 6,512.08/x
  3. Step 3: Cross multiply
    7,328.56x = 10,960.44 × 6,512.08
  4. Step 4: Simplify right side
    7,328.56x = 71,375,262.12
  5. Step 5: Solve for x
    x = 71,375,262.12/7,328.56
  6. Step 6: Final answer
    x = 9,739.33

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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.