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Finding the Fourth Proportional to 6,806.40, 10,219.20 and 4,214.40

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Solution

The fourth proportional to 6,806.40, 10,219.20 and 4,214.40 is: 6,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.40 : 10,219.20 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    6,806.40/10,219.20 = 4,214.40/x
  3. Step 3: Cross multiply
    6,806.40x = 10,219.20 × 4,214.40
  4. Step 4: Simplify right side
    6,806.40x = 43,067,796.48
  5. Step 5: Solve for x
    x = 43,067,796.48/6,806.40
  6. Step 6: Final answer
    x = 6,327.54

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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.