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Finding the Fourth Proportional to 8,367.66, 11,546.73 and 4,828.50

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Solution

The fourth proportional to 8,367.66, 11,546.73 and 4,828.50 is: 6,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.66 : 11,546.73 = 4,828.50 : x
  2. Step 2: Convert to fraction form
    8,367.66/11,546.73 = 4,828.50/x
  3. Step 3: Cross multiply
    8,367.66x = 11,546.73 × 4,828.50
  4. Step 4: Simplify right side
    8,367.66x = 55,753,385.81
  5. Step 5: Solve for x
    x = 55,753,385.81/8,367.66
  6. Step 6: Final answer
    x = 6,662.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.