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Finding the Fourth Proportional to 6,412.50, 9,590.96 and 3,773.72

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Solution

The fourth proportional to 6,412.50, 9,590.96 and 3,773.72 is: 5,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.50 : 9,590.96 = 3,773.72 : x
  2. Step 2: Convert to fraction form
    6,412.50/9,590.96 = 3,773.72/x
  3. Step 3: Cross multiply
    6,412.50x = 9,590.96 × 3,773.72
  4. Step 4: Simplify right side
    6,412.50x = 36,193,530.75
  5. Step 5: Solve for x
    x = 36,193,530.75/6,412.50
  6. Step 6: Final answer
    x = 5,644.22

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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.