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Finding the Fourth Proportional to 6,906.37, 9,536.41 and 5,630.45

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Solution

The fourth proportional to 6,906.37, 9,536.41 and 5,630.45 is: 7,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.37 : 9,536.41 = 5,630.45 : x
  2. Step 2: Convert to fraction form
    6,906.37/9,536.41 = 5,630.45/x
  3. Step 3: Cross multiply
    6,906.37x = 9,536.41 × 5,630.45
  4. Step 4: Simplify right side
    6,906.37x = 53,694,279.68
  5. Step 5: Solve for x
    x = 53,694,279.68/6,906.37
  6. Step 6: Final answer
    x = 7,774.60

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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.