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Finding the Fourth Proportional to 10,922.40, 16,363.44 and 7,454.88

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Solution

The fourth proportional to 10,922.40, 16,363.44 and 7,454.88 is: 11,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.40 : 16,363.44 = 7,454.88 : x
  2. Step 2: Convert to fraction form
    10,922.40/16,363.44 = 7,454.88/x
  3. Step 3: Cross multiply
    10,922.40x = 16,363.44 × 7,454.88
  4. Step 4: Simplify right side
    10,922.40x = 121,987,481.59
  5. Step 5: Solve for x
    x = 121,987,481.59/10,922.40
  6. Step 6: Final answer
    x = 11,168.56

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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.