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Finding the Fourth Proportional to 5,670.60, 8,489.10 and 4,216.20

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Solution

The fourth proportional to 5,670.60, 8,489.10 and 4,216.20 is: 6,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.60 : 8,489.10 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    5,670.60/8,489.10 = 4,216.20/x
  3. Step 3: Cross multiply
    5,670.60x = 8,489.10 × 4,216.20
  4. Step 4: Simplify right side
    5,670.60x = 35,791,743.42
  5. Step 5: Solve for x
    x = 35,791,743.42/5,670.60
  6. Step 6: Final answer
    x = 6,311.81

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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.