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Finding the Fourth Proportional to 10,945.20, 16,404.30 and 7,435.20

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Solution

The fourth proportional to 10,945.20, 16,404.30 and 7,435.20 is: 11,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.20 : 16,404.30 = 7,435.20 : x
  2. Step 2: Convert to fraction form
    10,945.20/16,404.30 = 7,435.20/x
  3. Step 3: Cross multiply
    10,945.20x = 16,404.30 × 7,435.20
  4. Step 4: Simplify right side
    10,945.20x = 121,969,251.36
  5. Step 5: Solve for x
    x = 121,969,251.36/10,945.20
  6. Step 6: Final answer
    x = 11,143.63

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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.