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Finding the Fourth Proportional to 7,409.20, 11,086.80 and 5,465.20

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Solution

The fourth proportional to 7,409.20, 11,086.80 and 5,465.20 is: 8,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.20 : 11,086.80 = 5,465.20 : x
  2. Step 2: Convert to fraction form
    7,409.20/11,086.80 = 5,465.20/x
  3. Step 3: Cross multiply
    7,409.20x = 11,086.80 × 5,465.20
  4. Step 4: Simplify right side
    7,409.20x = 60,591,579.36
  5. Step 5: Solve for x
    x = 60,591,579.36/7,409.20
  6. Step 6: Final answer
    x = 8,177.88

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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.