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Finding the Fourth Proportional to 9,642.88, 14,464.16 and 3,067.84

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Solution

The fourth proportional to 9,642.88, 14,464.16 and 3,067.84 is: 4,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.88 : 14,464.16 = 3,067.84 : x
  2. Step 2: Convert to fraction form
    9,642.88/14,464.16 = 3,067.84/x
  3. Step 3: Cross multiply
    9,642.88x = 14,464.16 × 3,067.84
  4. Step 4: Simplify right side
    9,642.88x = 44,373,728.61
  5. Step 5: Solve for x
    x = 44,373,728.61/9,642.88
  6. Step 6: Final answer
    x = 4,601.71

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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.