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Finding the Fourth Proportional to 24,405.28, 36,609.24 and 7,766.64

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Solution

The fourth proportional to 24,405.28, 36,609.24 and 7,766.64 is: 11,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.28 : 36,609.24 = 7,766.64 : x
  2. Step 2: Convert to fraction form
    24,405.28/36,609.24 = 7,766.64/x
  3. Step 3: Cross multiply
    24,405.28x = 36,609.24 × 7,766.64
  4. Step 4: Simplify right side
    24,405.28x = 284,330,787.75
  5. Step 5: Solve for x
    x = 284,330,787.75/24,405.28
  6. Step 6: Final answer
    x = 11,650.38

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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.