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Finding the Fourth Proportional to 7,641.98, 11,450.63 and 4,133.63

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Solution

The fourth proportional to 7,641.98, 11,450.63 and 4,133.63 is: 6,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.98 : 11,450.63 = 4,133.63 : x
  2. Step 2: Convert to fraction form
    7,641.98/11,450.63 = 4,133.63/x
  3. Step 3: Cross multiply
    7,641.98x = 11,450.63 × 4,133.63
  4. Step 4: Simplify right side
    7,641.98x = 47,332,706.65
  5. Step 5: Solve for x
    x = 47,332,706.65/7,641.98
  6. Step 6: Final answer
    x = 6,193.78

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1.5x scale

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.