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Finding the Fourth Proportional to 5,662.32, 8,489.16 and 2,197.68

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Solution

The fourth proportional to 5,662.32, 8,489.16 and 2,197.68 is: 3,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.32 : 8,489.16 = 2,197.68 : x
  2. Step 2: Convert to fraction form
    5,662.32/8,489.16 = 2,197.68/x
  3. Step 3: Cross multiply
    5,662.32x = 8,489.16 × 2,197.68
  4. Step 4: Simplify right side
    5,662.32x = 18,656,457.15
  5. Step 5: Solve for x
    x = 18,656,457.15/5,662.32
  6. Step 6: Final answer
    x = 3,294.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.