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Finding the Fourth Proportional to 6,383.70, 9,575.56 and 3,097.28

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Solution

The fourth proportional to 6,383.70, 9,575.56 and 3,097.28 is: 4,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.70 : 9,575.56 = 3,097.28 : x
  2. Step 2: Convert to fraction form
    6,383.70/9,575.56 = 3,097.28/x
  3. Step 3: Cross multiply
    6,383.70x = 9,575.56 × 3,097.28
  4. Step 4: Simplify right side
    6,383.70x = 29,658,190.48
  5. Step 5: Solve for x
    x = 29,658,190.48/6,383.70
  6. Step 6: Final answer
    x = 4,645.92

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Half scale
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Similar ratio
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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.