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Finding the Fourth Proportional to 6,673.32, 9,209.16 and 3,648.44

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Solution

The fourth proportional to 6,673.32, 9,209.16 and 3,648.44 is: 5,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.32 : 9,209.16 = 3,648.44 : x
  2. Step 2: Convert to fraction form
    6,673.32/9,209.16 = 3,648.44/x
  3. Step 3: Cross multiply
    6,673.32x = 9,209.16 × 3,648.44
  4. Step 4: Simplify right side
    6,673.32x = 33,599,067.71
  5. Step 5: Solve for x
    x = 33,599,067.71/6,673.32
  6. Step 6: Final answer
    x = 5,034.84

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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.