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Finding the Fourth Proportional to 7,467.64, 11,204.64 and 2,849.56

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Solution

The fourth proportional to 7,467.64, 11,204.64 and 2,849.56 is: 4,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.64 : 11,204.64 = 2,849.56 : x
  2. Step 2: Convert to fraction form
    7,467.64/11,204.64 = 2,849.56/x
  3. Step 3: Cross multiply
    7,467.64x = 11,204.64 × 2,849.56
  4. Step 4: Simplify right side
    7,467.64x = 31,928,293.96
  5. Step 5: Solve for x
    x = 31,928,293.96/7,467.64
  6. Step 6: Final answer
    x = 4,275.55

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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.