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Finding the Fourth Proportional to 12,150, 18,225.54 and 3,832.92

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Solution

The fourth proportional to 12,150, 18,225.54 and 3,832.92 is: 5,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 18,225.54 = 3,832.92 : x
  2. Step 2: Convert to fraction form
    12,150/18,225.54 = 3,832.92/x
  3. Step 3: Cross multiply
    12,150x = 18,225.54 × 3,832.92
  4. Step 4: Simplify right side
    12,150x = 69,857,036.78
  5. Step 5: Solve for x
    x = 69,857,036.78/12,150
  6. Step 6: Final answer
    x = 5,749.55

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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.