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Finding the Fourth Proportional to 6,232.22, 8,609.98 and 5,297.96

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Solution

The fourth proportional to 6,232.22, 8,609.98 and 5,297.96 is: 7,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.22 : 8,609.98 = 5,297.96 : x
  2. Step 2: Convert to fraction form
    6,232.22/8,609.98 = 5,297.96/x
  3. Step 3: Cross multiply
    6,232.22x = 8,609.98 × 5,297.96
  4. Step 4: Simplify right side
    6,232.22x = 45,615,329.64
  5. Step 5: Solve for x
    x = 45,615,329.64/6,232.22
  6. Step 6: Final answer
    x = 7,319.27

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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.