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Finding the Fourth Proportional to 13,866.22, 20,797.97 and 7,624.16

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Solution

The fourth proportional to 13,866.22, 20,797.97 and 7,624.16 is: 11,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.22 : 20,797.97 = 7,624.16 : x
  2. Step 2: Convert to fraction form
    13,866.22/20,797.97 = 7,624.16/x
  3. Step 3: Cross multiply
    13,866.22x = 20,797.97 × 7,624.16
  4. Step 4: Simplify right side
    13,866.22x = 158,566,986.84
  5. Step 5: Solve for x
    x = 158,566,986.84/13,866.22
  6. Step 6: Final answer
    x = 11,435.49

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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.