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Finding the Fourth Proportional to 27,624.42, 41,429.04 and 7,629.12

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Solution

The fourth proportional to 27,624.42, 41,429.04 and 7,629.12 is: 11,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.42 : 41,429.04 = 7,629.12 : x
  2. Step 2: Convert to fraction form
    27,624.42/41,429.04 = 7,629.12/x
  3. Step 3: Cross multiply
    27,624.42x = 41,429.04 × 7,629.12
  4. Step 4: Simplify right side
    27,624.42x = 316,067,117.64
  5. Step 5: Solve for x
    x = 316,067,117.64/27,624.42
  6. Step 6: Final answer
    x = 11,441.58

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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.