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Finding the Fourth Proportional to 6,576.90, 9,849.15 and 4,373.70

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Solution

The fourth proportional to 6,576.90, 9,849.15 and 4,373.70 is: 6,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.90 : 9,849.15 = 4,373.70 : x
  2. Step 2: Convert to fraction form
    6,576.90/9,849.15 = 4,373.70/x
  3. Step 3: Cross multiply
    6,576.90x = 9,849.15 × 4,373.70
  4. Step 4: Simplify right side
    6,576.90x = 43,077,227.36
  5. Step 5: Solve for x
    x = 43,077,227.36/6,576.90
  6. Step 6: Final answer
    x = 6,549.78

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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.