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Finding the Fourth Proportional to 30,297.64, 45,446.94 and 9,238.12

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Solution

The fourth proportional to 30,297.64, 45,446.94 and 9,238.12 is: 13,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.64 : 45,446.94 = 9,238.12 : x
  2. Step 2: Convert to fraction form
    30,297.64/45,446.94 = 9,238.12/x
  3. Step 3: Cross multiply
    30,297.64x = 45,446.94 × 9,238.12
  4. Step 4: Simplify right side
    30,297.64x = 419,844,285.35
  5. Step 5: Solve for x
    x = 419,844,285.35/30,297.64
  6. Step 6: Final answer
    x = 13,857.33

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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.