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Finding the Fourth Proportional to 10,229.30, 15,311.55 and 7,313.30

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Solution

The fourth proportional to 10,229.30, 15,311.55 and 7,313.30 is: 10,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.30 : 15,311.55 = 7,313.30 : x
  2. Step 2: Convert to fraction form
    10,229.30/15,311.55 = 7,313.30/x
  3. Step 3: Cross multiply
    10,229.30x = 15,311.55 × 7,313.30
  4. Step 4: Simplify right side
    10,229.30x = 111,977,958.62
  5. Step 5: Solve for x
    x = 111,977,958.62/10,229.30
  6. Step 6: Final answer
    x = 10,946.79

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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.