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Finding the Fourth Proportional to 12,314.60, 18,471.90 and 4,920.20

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Solution

The fourth proportional to 12,314.60, 18,471.90 and 4,920.20 is: 7,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.60 : 18,471.90 = 4,920.20 : x
  2. Step 2: Convert to fraction form
    12,314.60/18,471.90 = 4,920.20/x
  3. Step 3: Cross multiply
    12,314.60x = 18,471.90 × 4,920.20
  4. Step 4: Simplify right side
    12,314.60x = 90,885,442.38
  5. Step 5: Solve for x
    x = 90,885,442.38/12,314.60
  6. Step 6: Final answer
    x = 7,380.30

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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.