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Finding the Fourth Proportional to 7,470.36, 11,207.36 and 2,276.23

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Solution

The fourth proportional to 7,470.36, 11,207.36 and 2,276.23 is: 3,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.36 : 11,207.36 = 2,276.23 : x
  2. Step 2: Convert to fraction form
    7,470.36/11,207.36 = 2,276.23/x
  3. Step 3: Cross multiply
    7,470.36x = 11,207.36 × 2,276.23
  4. Step 4: Simplify right side
    7,470.36x = 25,510,529.05
  5. Step 5: Solve for x
    x = 25,510,529.05/7,470.36
  6. Step 6: Final answer
    x = 3,414.90

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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.