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Finding the Fourth Proportional to 6,267, 8,648.74 and 3,472.50

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Solution

The fourth proportional to 6,267, 8,648.74 and 3,472.50 is: 4,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267 : 8,648.74 = 3,472.50 : x
  2. Step 2: Convert to fraction form
    6,267/8,648.74 = 3,472.50/x
  3. Step 3: Cross multiply
    6,267x = 8,648.74 × 3,472.50
  4. Step 4: Simplify right side
    6,267x = 30,032,749.65
  5. Step 5: Solve for x
    x = 30,032,749.65/6,267
  6. Step 6: Final answer
    x = 4,792.21

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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.