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Finding the Fourth Proportional to 24,380.92, 36,567.63 and 7,738.79

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Solution

The fourth proportional to 24,380.92, 36,567.63 and 7,738.79 is: 11,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.92 : 36,567.63 = 7,738.79 : x
  2. Step 2: Convert to fraction form
    24,380.92/36,567.63 = 7,738.79/x
  3. Step 3: Cross multiply
    24,380.92x = 36,567.63 × 7,738.79
  4. Step 4: Simplify right side
    24,380.92x = 282,989,209.37
  5. Step 5: Solve for x
    x = 282,989,209.37/24,380.92
  6. Step 6: Final answer
    x = 11,606.99

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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.