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Finding the Fourth Proportional to 6,638.96, 9,161.52 and 3,654.76

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Solution

The fourth proportional to 6,638.96, 9,161.52 and 3,654.76 is: 5,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.96 : 9,161.52 = 3,654.76 : x
  2. Step 2: Convert to fraction form
    6,638.96/9,161.52 = 3,654.76/x
  3. Step 3: Cross multiply
    6,638.96x = 9,161.52 × 3,654.76
  4. Step 4: Simplify right side
    6,638.96x = 33,483,156.84
  5. Step 5: Solve for x
    x = 33,483,156.84/6,638.96
  6. Step 6: Final answer
    x = 5,043.43

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Half scale
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Double scale
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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.