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Finding the Fourth Proportional to 6,620.50, 9,924.04 and 4,157.07

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Solution

The fourth proportional to 6,620.50, 9,924.04 and 4,157.07 is: 6,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.50 : 9,924.04 = 4,157.07 : x
  2. Step 2: Convert to fraction form
    6,620.50/9,924.04 = 4,157.07/x
  3. Step 3: Cross multiply
    6,620.50x = 9,924.04 × 4,157.07
  4. Step 4: Simplify right side
    6,620.50x = 41,254,928.96
  5. Step 5: Solve for x
    x = 41,254,928.96/6,620.50
  6. Step 6: Final answer
    x = 6,231.39

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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.