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Finding the Fourth Proportional to 24,498.44, 36,747.86 and 7,858.50

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Solution

The fourth proportional to 24,498.44, 36,747.86 and 7,858.50 is: 11,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.44 : 36,747.86 = 7,858.50 : x
  2. Step 2: Convert to fraction form
    24,498.44/36,747.86 = 7,858.50/x
  3. Step 3: Cross multiply
    24,498.44x = 36,747.86 × 7,858.50
  4. Step 4: Simplify right side
    24,498.44x = 288,783,057.81
  5. Step 5: Solve for x
    x = 288,783,057.81/24,498.44
  6. Step 6: Final answer
    x = 11,787.81

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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.