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Finding the Fourth Proportional to 20,165.64, 30,248.46 and 6,314.64

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Solution

The fourth proportional to 20,165.64, 30,248.46 and 6,314.64 is: 9,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.64 : 30,248.46 = 6,314.64 : x
  2. Step 2: Convert to fraction form
    20,165.64/30,248.46 = 6,314.64/x
  3. Step 3: Cross multiply
    20,165.64x = 30,248.46 × 6,314.64
  4. Step 4: Simplify right side
    20,165.64x = 191,008,135.45
  5. Step 5: Solve for x
    x = 191,008,135.45/20,165.64
  6. Step 6: Final answer
    x = 9,471.96

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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.