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Finding the Fourth Proportional to 7,309.62, 10,966.16 and 3,150.24

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Solution

The fourth proportional to 7,309.62, 10,966.16 and 3,150.24 is: 4,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.62 : 10,966.16 = 3,150.24 : x
  2. Step 2: Convert to fraction form
    7,309.62/10,966.16 = 3,150.24/x
  3. Step 3: Cross multiply
    7,309.62x = 10,966.16 × 3,150.24
  4. Step 4: Simplify right side
    7,309.62x = 34,546,049.27
  5. Step 5: Solve for x
    x = 34,546,049.27/7,309.62
  6. Step 6: Final answer
    x = 4,726.11

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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.