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Finding the Fourth Proportional to 6,472.50, 9,709.92 and 4,283.04

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Solution

The fourth proportional to 6,472.50, 9,709.92 and 4,283.04 is: 6,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.50 : 9,709.92 = 4,283.04 : x
  2. Step 2: Convert to fraction form
    6,472.50/9,709.92 = 4,283.04/x
  3. Step 3: Cross multiply
    6,472.50x = 9,709.92 × 4,283.04
  4. Step 4: Simplify right side
    6,472.50x = 41,587,975.76
  5. Step 5: Solve for x
    x = 41,587,975.76/6,472.50
  6. Step 6: Final answer
    x = 6,425.33

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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.