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Finding the Fourth Proportional to 6,645.32, 9,964.73 and 3,795.47

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Solution

The fourth proportional to 6,645.32, 9,964.73 and 3,795.47 is: 5,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.32 : 9,964.73 = 3,795.47 : x
  2. Step 2: Convert to fraction form
    6,645.32/9,964.73 = 3,795.47/x
  3. Step 3: Cross multiply
    6,645.32x = 9,964.73 × 3,795.47
  4. Step 4: Simplify right side
    6,645.32x = 37,820,793.44
  5. Step 5: Solve for x
    x = 37,820,793.44/6,645.32
  6. Step 6: Final answer
    x = 5,691.35

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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.