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Finding the Fourth Proportional to 6,772.80, 9,346.17 and 3,788.07

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Solution

The fourth proportional to 6,772.80, 9,346.17 and 3,788.07 is: 5,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.80 : 9,346.17 = 3,788.07 : x
  2. Step 2: Convert to fraction form
    6,772.80/9,346.17 = 3,788.07/x
  3. Step 3: Cross multiply
    6,772.80x = 9,346.17 × 3,788.07
  4. Step 4: Simplify right side
    6,772.80x = 35,403,946.19
  5. Step 5: Solve for x
    x = 35,403,946.19/6,772.80
  6. Step 6: Final answer
    x = 5,227.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.