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Finding the Fourth Proportional to 7,067.68, 9,754.08 and 3,924.64

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Solution

The fourth proportional to 7,067.68, 9,754.08 and 3,924.64 is: 5,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.68 : 9,754.08 = 3,924.64 : x
  2. Step 2: Convert to fraction form
    7,067.68/9,754.08 = 3,924.64/x
  3. Step 3: Cross multiply
    7,067.68x = 9,754.08 × 3,924.64
  4. Step 4: Simplify right side
    7,067.68x = 38,281,252.53
  5. Step 5: Solve for x
    x = 38,281,252.53/7,067.68
  6. Step 6: Final answer
    x = 5,416.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.