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Finding the Fourth Proportional to 22,523.96, 33,774.48 and 7,525.68

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Solution

The fourth proportional to 22,523.96, 33,774.48 and 7,525.68 is: 11,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.96 : 33,774.48 = 7,525.68 : x
  2. Step 2: Convert to fraction form
    22,523.96/33,774.48 = 7,525.68/x
  3. Step 3: Cross multiply
    22,523.96x = 33,774.48 × 7,525.68
  4. Step 4: Simplify right side
    22,523.96x = 254,175,928.65
  5. Step 5: Solve for x
    x = 254,175,928.65/22,523.96
  6. Step 6: Final answer
    x = 11,284.69

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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.