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Finding the Fourth Proportional to 6,638.67, 9,164.66 and 4,659.73

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Solution

The fourth proportional to 6,638.67, 9,164.66 and 4,659.73 is: 6,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.67 : 9,164.66 = 4,659.73 : x
  2. Step 2: Convert to fraction form
    6,638.67/9,164.66 = 4,659.73/x
  3. Step 3: Cross multiply
    6,638.67x = 9,164.66 × 4,659.73
  4. Step 4: Simplify right side
    6,638.67x = 42,704,841.14
  5. Step 5: Solve for x
    x = 42,704,841.14/6,638.67
  6. Step 6: Final answer
    x = 6,432.74

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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.