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Finding the Fourth Proportional to 22,321.96, 33,486 and 7,535.12

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Solution

The fourth proportional to 22,321.96, 33,486 and 7,535.12 is: 11,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.96 : 33,486 = 7,535.12 : x
  2. Step 2: Convert to fraction form
    22,321.96/33,486 = 7,535.12/x
  3. Step 3: Cross multiply
    22,321.96x = 33,486 × 7,535.12
  4. Step 4: Simplify right side
    22,321.96x = 252,321,028.32
  5. Step 5: Solve for x
    x = 252,321,028.32/22,321.96
  6. Step 6: Final answer
    x = 11,303.71

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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.