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Finding the Fourth Proportional to 7,297.30, 10,067.94 and 4,314.14

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Solution

The fourth proportional to 7,297.30, 10,067.94 and 4,314.14 is: 5,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.30 : 10,067.94 = 4,314.14 : x
  2. Step 2: Convert to fraction form
    7,297.30/10,067.94 = 4,314.14/x
  3. Step 3: Cross multiply
    7,297.30x = 10,067.94 × 4,314.14
  4. Step 4: Simplify right side
    7,297.30x = 43,434,502.67
  5. Step 5: Solve for x
    x = 43,434,502.67/7,297.30
  6. Step 6: Final answer
    x = 5,952.13

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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.