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Finding the Fourth Proportional to 10,940.80, 16,411.20 and 7,441.60

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Solution

The fourth proportional to 10,940.80, 16,411.20 and 7,441.60 is: 11,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.80 : 16,411.20 = 7,441.60 : x
  2. Step 2: Convert to fraction form
    10,940.80/16,411.20 = 7,441.60/x
  3. Step 3: Cross multiply
    10,940.80x = 16,411.20 × 7,441.60
  4. Step 4: Simplify right side
    10,940.80x = 122,125,585.92
  5. Step 5: Solve for x
    x = 122,125,585.92/10,940.80
  6. Step 6: Final answer
    x = 11,162.40

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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.