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Finding the Fourth Proportional to 6,815.20, 10,213.20 and 5,046.40

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Solution

The fourth proportional to 6,815.20, 10,213.20 and 5,046.40 is: 7,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.20 : 10,213.20 = 5,046.40 : x
  2. Step 2: Convert to fraction form
    6,815.20/10,213.20 = 5,046.40/x
  3. Step 3: Cross multiply
    6,815.20x = 10,213.20 × 5,046.40
  4. Step 4: Simplify right side
    6,815.20x = 51,539,892.48
  5. Step 5: Solve for x
    x = 51,539,892.48/6,815.20
  6. Step 6: Final answer
    x = 7,562.49

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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.