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Finding the Fourth Proportional to 6,153.67, 9,230.43 and 4,174.39

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Solution

The fourth proportional to 6,153.67, 9,230.43 and 4,174.39 is: 6,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.67 : 9,230.43 = 4,174.39 : x
  2. Step 2: Convert to fraction form
    6,153.67/9,230.43 = 4,174.39/x
  3. Step 3: Cross multiply
    6,153.67x = 9,230.43 × 4,174.39
  4. Step 4: Simplify right side
    6,153.67x = 38,531,467.84
  5. Step 5: Solve for x
    x = 38,531,467.84/6,153.67
  6. Step 6: Final answer
    x = 6,261.54

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1.5x scale

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.