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Finding the Fourth Proportional to 7,574.64, 11,361.95 and 2,027.84

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Solution

The fourth proportional to 7,574.64, 11,361.95 and 2,027.84 is: 3,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.64 : 11,361.95 = 2,027.84 : x
  2. Step 2: Convert to fraction form
    7,574.64/11,361.95 = 2,027.84/x
  3. Step 3: Cross multiply
    7,574.64x = 11,361.95 × 2,027.84
  4. Step 4: Simplify right side
    7,574.64x = 23,040,216.69
  5. Step 5: Solve for x
    x = 23,040,216.69/7,574.64
  6. Step 6: Final answer
    x = 3,041.76

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Similar ratio
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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.