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Finding the Fourth Proportional to 6,172.86, 9,237.42 and 5,443.86

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Solution

The fourth proportional to 6,172.86, 9,237.42 and 5,443.86 is: 8,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.86 : 9,237.42 = 5,443.86 : x
  2. Step 2: Convert to fraction form
    6,172.86/9,237.42 = 5,443.86/x
  3. Step 3: Cross multiply
    6,172.86x = 9,237.42 × 5,443.86
  4. Step 4: Simplify right side
    6,172.86x = 50,287,221.24
  5. Step 5: Solve for x
    x = 50,287,221.24/6,172.86
  6. Step 6: Final answer
    x = 8,146.50

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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.