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Finding the Fourth Proportional to 6,731.54, 9,289.96 and 4,491.99

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Solution

The fourth proportional to 6,731.54, 9,289.96 and 4,491.99 is: 6,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.54 : 9,289.96 = 4,491.99 : x
  2. Step 2: Convert to fraction form
    6,731.54/9,289.96 = 4,491.99/x
  3. Step 3: Cross multiply
    6,731.54x = 9,289.96 × 4,491.99
  4. Step 4: Simplify right side
    6,731.54x = 41,730,407.42
  5. Step 5: Solve for x
    x = 41,730,407.42/6,731.54
  6. Step 6: Final answer
    x = 6,199.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.