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Finding the Fourth Proportional to 6,602.36, 9,902.30 and 3,314.57

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Solution

The fourth proportional to 6,602.36, 9,902.30 and 3,314.57 is: 4,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.36 : 9,902.30 = 3,314.57 : x
  2. Step 2: Convert to fraction form
    6,602.36/9,902.30 = 3,314.57/x
  3. Step 3: Cross multiply
    6,602.36x = 9,902.30 × 3,314.57
  4. Step 4: Simplify right side
    6,602.36x = 32,821,800.43
  5. Step 5: Solve for x
    x = 32,821,800.43/6,602.36
  6. Step 6: Final answer
    x = 4,971.23

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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.