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Finding the Fourth Proportional to 7,764.50, 11,698.62 and 7,025.04

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Solution

The fourth proportional to 7,764.50, 11,698.62 and 7,025.04 is: 10,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.50 : 11,698.62 = 7,025.04 : x
  2. Step 2: Convert to fraction form
    7,764.50/11,698.62 = 7,025.04/x
  3. Step 3: Cross multiply
    7,764.50x = 11,698.62 × 7,025.04
  4. Step 4: Simplify right side
    7,764.50x = 82,183,247.10
  5. Step 5: Solve for x
    x = 82,183,247.10/7,764.50
  6. Step 6: Final answer
    x = 10,584.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.