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Finding the Fourth Proportional to 7,622.92, 10,520.34 and 7,027.30

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Solution

The fourth proportional to 7,622.92, 10,520.34 and 7,027.30 is: 9,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.92 : 10,520.34 = 7,027.30 : x
  2. Step 2: Convert to fraction form
    7,622.92/10,520.34 = 7,027.30/x
  3. Step 3: Cross multiply
    7,622.92x = 10,520.34 × 7,027.30
  4. Step 4: Simplify right side
    7,622.92x = 73,929,585.28
  5. Step 5: Solve for x
    x = 73,929,585.28/7,622.92
  6. Step 6: Final answer
    x = 9,698.33

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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.