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Finding the Fourth Proportional to 6,772.80, 10,159.20 and 3,662.40

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Solution

The fourth proportional to 6,772.80, 10,159.20 and 3,662.40 is: 5,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.80 : 10,159.20 = 3,662.40 : x
  2. Step 2: Convert to fraction form
    6,772.80/10,159.20 = 3,662.40/x
  3. Step 3: Cross multiply
    6,772.80x = 10,159.20 × 3,662.40
  4. Step 4: Simplify right side
    6,772.80x = 37,207,054.08
  5. Step 5: Solve for x
    x = 37,207,054.08/6,772.80
  6. Step 6: Final answer
    x = 5,493.60

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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.