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Finding the Fourth Proportional to 6,997.60, 9,662.52 and 6,250.24

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Solution

The fourth proportional to 6,997.60, 9,662.52 and 6,250.24 is: 8,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.60 : 9,662.52 = 6,250.24 : x
  2. Step 2: Convert to fraction form
    6,997.60/9,662.52 = 6,250.24/x
  3. Step 3: Cross multiply
    6,997.60x = 9,662.52 × 6,250.24
  4. Step 4: Simplify right side
    6,997.60x = 60,393,069.00
  5. Step 5: Solve for x
    x = 60,393,069.00/6,997.60
  6. Step 6: Final answer
    x = 8,630.54

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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.