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Finding the Fourth Proportional to 24,299.94, 36,454.77 and 7,662.54

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Solution

The fourth proportional to 24,299.94, 36,454.77 and 7,662.54 is: 11,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.94 : 36,454.77 = 7,662.54 : x
  2. Step 2: Convert to fraction form
    24,299.94/36,454.77 = 7,662.54/x
  3. Step 3: Cross multiply
    24,299.94x = 36,454.77 × 7,662.54
  4. Step 4: Simplify right side
    24,299.94x = 279,336,133.32
  5. Step 5: Solve for x
    x = 279,336,133.32/24,299.94
  6. Step 6: Final answer
    x = 11,495.34

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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.