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Finding the Fourth Proportional to 6,596.50, 9,889.59 and 3,472.42

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Solution

The fourth proportional to 6,596.50, 9,889.59 and 3,472.42 is: 5,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.50 : 9,889.59 = 3,472.42 : x
  2. Step 2: Convert to fraction form
    6,596.50/9,889.59 = 3,472.42/x
  3. Step 3: Cross multiply
    6,596.50x = 9,889.59 × 3,472.42
  4. Step 4: Simplify right side
    6,596.50x = 34,340,810.11
  5. Step 5: Solve for x
    x = 34,340,810.11/6,596.50
  6. Step 6: Final answer
    x = 5,205.91

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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.