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Finding the Fourth Proportional to 6,602.16, 9,903 and 2,654.64

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Solution

The fourth proportional to 6,602.16, 9,903 and 2,654.64 is: 3,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.16 : 9,903 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    6,602.16/9,903 = 2,654.64/x
  3. Step 3: Cross multiply
    6,602.16x = 9,903 × 2,654.64
  4. Step 4: Simplify right side
    6,602.16x = 26,288,899.92
  5. Step 5: Solve for x
    x = 26,288,899.92/6,602.16
  6. Step 6: Final answer
    x = 3,981.86

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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.