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Finding the Fourth Proportional to 6,149.93, 9,231.17 and 4,501.58

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Solution

The fourth proportional to 6,149.93, 9,231.17 and 4,501.58 is: 6,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.93 : 9,231.17 = 4,501.58 : x
  2. Step 2: Convert to fraction form
    6,149.93/9,231.17 = 4,501.58/x
  3. Step 3: Cross multiply
    6,149.93x = 9,231.17 × 4,501.58
  4. Step 4: Simplify right side
    6,149.93x = 41,554,861.50
  5. Step 5: Solve for x
    x = 41,554,861.50/6,149.93
  6. Step 6: Final answer
    x = 6,756.96

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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.