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Finding the Fourth Proportional to 6,772.88, 9,346.80 and 3,788.64

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Solution

The fourth proportional to 6,772.88, 9,346.80 and 3,788.64 is: 5,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.88 : 9,346.80 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    6,772.88/9,346.80 = 3,788.64/x
  3. Step 3: Cross multiply
    6,772.88x = 9,346.80 × 3,788.64
  4. Step 4: Simplify right side
    6,772.88x = 35,411,660.35
  5. Step 5: Solve for x
    x = 35,411,660.35/6,772.88
  6. Step 6: Final answer
    x = 5,228.45

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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.