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Finding the Fourth Proportional to 7,014.87, 9,680.49 and 3,828.15

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Solution

The fourth proportional to 7,014.87, 9,680.49 and 3,828.15 is: 5,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.87 : 9,680.49 = 3,828.15 : x
  2. Step 2: Convert to fraction form
    7,014.87/9,680.49 = 3,828.15/x
  3. Step 3: Cross multiply
    7,014.87x = 9,680.49 × 3,828.15
  4. Step 4: Simplify right side
    7,014.87x = 37,058,367.79
  5. Step 5: Solve for x
    x = 37,058,367.79/7,014.87
  6. Step 6: Final answer
    x = 5,282.83

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1.5x scale

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.