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Finding the Fourth Proportional to 6,311.66, 8,705.27 and 4,824.50

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Solution

The fourth proportional to 6,311.66, 8,705.27 and 4,824.50 is: 6,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.66 : 8,705.27 = 4,824.50 : x
  2. Step 2: Convert to fraction form
    6,311.66/8,705.27 = 4,824.50/x
  3. Step 3: Cross multiply
    6,311.66x = 8,705.27 × 4,824.50
  4. Step 4: Simplify right side
    6,311.66x = 41,998,543.65
  5. Step 5: Solve for x
    x = 41,998,543.65/6,311.66
  6. Step 6: Final answer
    x = 6,654.13

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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.