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Finding the Fourth Proportional to 6,409.60, 9,614.40 and 2,027.40

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Solution

The fourth proportional to 6,409.60, 9,614.40 and 2,027.40 is: 3,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,614.40 = 2,027.40 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,614.40 = 2,027.40/x
  3. Step 3: Cross multiply
    6,409.60x = 9,614.40 × 2,027.40
  4. Step 4: Simplify right side
    6,409.60x = 19,492,234.56
  5. Step 5: Solve for x
    x = 19,492,234.56/6,409.60
  6. Step 6: Final answer
    x = 3,041.10

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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.