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Finding the Fourth Proportional to 6,466.50, 8,924.85 and 4,891.86

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Solution

The fourth proportional to 6,466.50, 8,924.85 and 4,891.86 is: 6,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 8,924.85 = 4,891.86 : x
  2. Step 2: Convert to fraction form
    6,466.50/8,924.85 = 4,891.86/x
  3. Step 3: Cross multiply
    6,466.50x = 8,924.85 × 4,891.86
  4. Step 4: Simplify right side
    6,466.50x = 43,659,116.72
  5. Step 5: Solve for x
    x = 43,659,116.72/6,466.50
  6. Step 6: Final answer
    x = 6,751.58

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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.